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MTALHAHASSAN2

  • one year ago

Solve> log (5x-2)=3

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  1. MTALHAHASSAN2
    • one year ago
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    |dw:1433042081319:dw|

  2. Nnesha
    • one year ago
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    change log to exponential form |dw:1433042073554:dw|

  3. Nnesha
    • one year ago
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    \[\huge\rm log=\log_{10}\]

  4. MTALHAHASSAN2
    • one year ago
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    |dw:1433042120636:dw|

  5. Nnesha
    • one year ago
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    |dw:1433042242477:dw| 3 should be exponent of base and base is 10

  6. MTALHAHASSAN2
    • one year ago
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    so it be 10 ^3

  7. Nnesha
    • one year ago
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    yep right

  8. MTALHAHASSAN2
    • one year ago
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    ok

  9. MTALHAHASSAN2
    • one year ago
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    10^3 be 1000 right

  10. Nnesha
    • one year ago
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    yep

  11. MTALHAHASSAN2
    • one year ago
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    so everyone time log base be 10

  12. Nnesha
    • one year ago
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    yep log = log_{10}

  13. MTALHAHASSAN2
    • one year ago
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    oh ok

  14. MTALHAHASSAN2
    • one year ago
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    |dw:1433042706292:dw|

  15. MTALHAHASSAN2
    • one year ago
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    is it be the same thing

  16. MTALHAHASSAN2
    • one year ago
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    so base be 10 for this one too

  17. Nnesha
    • one year ago
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    what is .04? is it exponent ?

  18. MTALHAHASSAN2
    • one year ago
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    |dw:1433042799032:dw|

  19. Nnesha
    • one year ago
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    \[\huge\rm log 10^{-2} = .04\] like this ?

  20. MTALHAHASSAN2
    • one year ago
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    I do it like that but did not get the same answer

  21. MTALHAHASSAN2
    • one year ago
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    |dw:1433042894115:dw|

  22. Nnesha
    • one year ago
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    nope i'm asking which one is the original question ?

  23. MTALHAHASSAN2
    • one year ago
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    |dw:1433042957068:dw|

  24. MTALHAHASSAN2
    • one year ago
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    this one

  25. Nnesha
    • one year ago
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    \[\log x^{.04} = -2\] like this ?

  26. Nnesha
    • one year ago
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    .04 is exponent ?

  27. MTALHAHASSAN2
    • one year ago
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    no it is 0.04

  28. MTALHAHASSAN2
    • one year ago
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    yes it is

  29. Nnesha
    • one year ago
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    yep 0.04 is same as .04

  30. MTALHAHASSAN2
    • one year ago
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    x^0.04

  31. MTALHAHASSAN2
    • one year ago
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    so I am doing it right

  32. Nnesha
    • one year ago
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    |dw:1433043171981:dw| you should move whole thing to the right side x^0.04

  33. Nnesha
    • one year ago
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    then apply power property

  34. Nnesha
    • one year ago
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    and \[\huge\rm 10^{-2} = ???\]

  35. MTALHAHASSAN2
    • one year ago
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    1/100

  36. MTALHAHASSAN2
    • one year ago
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    right

  37. Nnesha
    • one year ago
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    yep right

  38. MTALHAHASSAN2
    • one year ago
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    what you get

  39. MTALHAHASSAN2
    • one year ago
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    I am getting like -0.03

  40. Nnesha
    • one year ago
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    mhmm take a screenshot of the question

  41. MTALHAHASSAN2
    • one year ago
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    how

  42. Nnesha
    • one year ago
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    with lightshot or hit prntScr in the keyboard

  43. MTALHAHASSAN2
    • one year ago
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    |dw:1433043746800:dw|

  44. MTALHAHASSAN2
    • one year ago
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    |dw:1433043795538:dw|

  45. Nnesha
    • one year ago
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    how did you subtract -,04 it is an exponent you can't do that

  46. MTALHAHASSAN2
    • one year ago
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    oh sorry my bad then

  47. MTALHAHASSAN2
    • one year ago
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    @Nnesha

  48. MTALHAHASSAN2
    • one year ago
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    plz help me

  49. Australopithecus
    • one year ago
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    DO you still need help with this?

  50. Nnesha
    • one year ago
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    i'm soooo sorry *internet issues* sorry!!! :(

  51. MTALHAHASSAN2
    • one year ago
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    @Nnesha

  52. MTALHAHASSAN2
    • one year ago
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    know can you plz help me with that question

  53. Nnesha
    • one year ago
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    ohh u back let's do it !

  54. MTALHAHASSAN2
    • one year ago
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    ok sure

  55. MTALHAHASSAN2
    • one year ago
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    |dw:1433093342529:dw|

  56. MTALHAHASSAN2
    • one year ago
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    so we left from their

  57. Nnesha
    • one year ago
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    \[\huge\rm 10^{-2} = x^{0.04}\] 10^{-2} = 1/100 \[\large\rm \frac{ 1 }{ 100}=x^{0.04}\]

  58. Nnesha
    • one year ago
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    do you have a answer choices ?

  59. MTALHAHASSAN2
    • one year ago
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    no

  60. MTALHAHASSAN2
    • one year ago
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    what can we do after this step

  61. Nnesha
    • one year ago
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    okay not take ln both side and apply power rule

  62. Nnesha
    • one year ago
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    now*

  63. Nnesha
    • one year ago
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    \[\huge\rm 10^{-2} = x^{0.04}\] 10^{-2} = 1/100 \[\large\rm \frac{ 1 }{ 100}=x^{0.04}\] 1/100 = .01 \[\large\rm 0.01=x^{0.04}\] we take ln both sides \[\large\rm \color{reD}{ln} 0.01= \color {red}{ln}x^{0.04}\]

  64. Nnesha
    • one year ago
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    power prop.\[\large\rm ln x^y = y \ln x\] apply it

  65. MTALHAHASSAN2
    • one year ago
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    what you mean the In

  66. MTALHAHASSAN2
    • one year ago
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    by*

  67. Nnesha
    • one year ago
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    natural log have u learned it ?

  68. Nnesha
    • one year ago
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    natural log and *e" ??

  69. Nnesha
    • one year ago
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    do you know about it ?

  70. MTALHAHASSAN2
    • one year ago
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    I think I do

  71. Nnesha
    • one year ago
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    alright good :-)

  72. Nnesha
    • one year ago
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    \[\large\rm \color{reD}{ln} 0.01= \color {red}{ln}x^{0.04}\] try it :-)

  73. Nnesha
    • one year ago
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    ello?

  74. MTALHAHASSAN2
    • one year ago
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    ok

  75. MTALHAHASSAN2
    • one year ago
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    |dw:1433095640902:dw|

  76. MTALHAHASSAN2
    • one year ago
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    is it be like that

  77. Nnesha
    • one year ago
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    you have to take ln both sides so that suppose to be \[\huge\rm ln 0.01 = .04 \ln x\] now divide both side by 0.04

  78. MTALHAHASSAN2
    • one year ago
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    but why we are dividing both side with 0.04

  79. Nnesha
    • one year ago
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    we have to solve for x so we have to divide both sides by .04 when u will left with ln x at the right side side after that you can take *e* both side to cancel out ln

  80. Nnesha
    • one year ago
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    \[\huge\rm ln 0.01 = .04 \ln x\] here you can't take *e* bec there is .04 at front of ln

  81. MTALHAHASSAN2
    • one year ago
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    |dw:1433096812958:dw|

  82. MTALHAHASSAN2
    • one year ago
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    is 0.25 be x

  83. Nnesha
    • one year ago
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    wait let me check

  84. Nnesha
    • one year ago
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    nope it's ln (.01) divide by .04 not just .01/.04

  85. Nnesha
    • one year ago
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    x is the base right ?? now tell me which one is your question \[\huge\rm log x^{0.04} = -2 \] or \[\huge\rm log_x 0.04 =-2 \] which one is it ?

  86. MTALHAHASSAN2
    • one year ago
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    second one

  87. MTALHAHASSAN2
    • one year ago
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    logx0.04=−2

  88. triciaal
    • one year ago
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    The log of a number is the power to which the base must be raised to get that number.

  89. triciaal
    • one year ago
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    as shown by @Nnesha |dw:1433111045071:dw|

  90. triciaal
    • one year ago
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    |dw:1433111216199:dw|

  91. triciaal
    • one year ago
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    |dw:1433111397216:dw|

  92. triciaal
    • one year ago
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    |dw:1433111901139:dw|

  93. triciaal
    • one year ago
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    |dw:1433112029139:dw|

  94. dmndlife24
    • one year ago
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    Something you should probably memorize: The logarithm is the exponent you put on the base to get the argument.

  95. Nnesha
    • one year ago
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    ahh alright i asked yesterday http://prntscr.com/7bnzx0 and u said yes .04 is a exponent

  96. Nnesha
    • one year ago
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    so if it's a 2nd one then x is base of log

  97. Nnesha
    • one year ago
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    after converting it to exponential form it should be \[\huge\rm x^{-2} = .04\] apply exponent rule x^{-m} = 1/m and then cross multiply

  98. MTALHAHASSAN2
    • one year ago
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    I knwo

  99. Nnesha
    • one year ago
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    so u got the answer ?let me know what u get :-)

  100. MTALHAHASSAN2
    • one year ago
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    I get 0.25/ or 0.004

  101. Nnesha
    • one year ago
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    how did you get .25 ?

  102. Nnesha
    • one year ago
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    \[\log_x 0.04 = -2 \] ^^^tha\[x^{-2} = ???\]t is your question change to exponential form \[\huge\rm x^{-2} = 0.04\] now \[x^{-2}= ???\]

  103. MTALHAHASSAN2
    • one year ago
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    0.01/0.04

  104. MTALHAHASSAN2
    • one year ago
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    but isn't log base be 10

  105. Nnesha
    • one year ago
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    nope that's not right we did it wrong bec i thought it's \[\log x^{0.04}= -2\] but that's wrong your question is \[\log_x 0.04 = -2\] x is base of log

  106. Nnesha
    • one year ago
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    log = log_10 but in that question given base is x

  107. Nnesha
    • one year ago
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    when they just gave you log without any base then you need to use 10

  108. MTALHAHASSAN2
    • one year ago
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    oh ok

  109. Nnesha
    • one year ago
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    |dw:1433112209702:dw|' now solve this

  110. MTALHAHASSAN2
    • one year ago
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    |dw:1433112345039:dw|

  111. MTALHAHASSAN2
    • one year ago
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    right

  112. Nnesha
    • one year ago
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    yep right cross multiply then solve for x

  113. MTALHAHASSAN2
    • one year ago
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    |dw:1433112422389:dw|

  114. Nnesha
    • one year ago
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    yep right solve for x^2

  115. MTALHAHASSAN2
    • one year ago
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    |dw:1433112507437:dw|

  116. Nnesha
    • one year ago
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    -.04 ?

  117. Nnesha
    • one year ago
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    0.04 is multiplying with x^2 how would you cancel it ?

  118. MTALHAHASSAN2
    • one year ago
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    |dw:1433112651173:dw|

  119. Nnesha
    • one year ago
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    nope nope

  120. MTALHAHASSAN2
    • one year ago
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    oh

  121. Nnesha
    • one year ago
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    1 = 0.04x^2 what is opposite of multiply ? do that to cancel out .04 from right side

  122. MTALHAHASSAN2
    • one year ago
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    |dw:1433112883319:dw|

  123. Nnesha
    • one year ago
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    perfect!

  124. MTALHAHASSAN2
    • one year ago
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    thnx a lot again

  125. Nnesha
    • one year ago
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    my pleasure :-) great work!

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