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smurfy14

  • 5 years ago

2log(base8)4-(1/3)log(base8)8=x

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  1. anonymous
    • 5 years ago
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    What number are both 8 and 4 a power of?

  2. myininaya
    • 5 years ago
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    log(base8)4^2-log(base8)8^(1/3)=log(base8)[4^2/8^(1/3)]

  3. anonymous
    • 5 years ago
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    Are you good now smurfy?

  4. smurfy14
    • 5 years ago
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    sorry for late response i didnt see my new notifications! um i get what myininaya did but what would you do after that?

  5. myininaya
    • 5 years ago
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    simplify!

  6. myininaya
    • 5 years ago
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    =log(base8)[16/2] i will let you do the last step

  7. myininaya
    • 5 years ago
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    or last two steps

  8. smurfy14
    • 5 years ago
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    so x=1 correct?

  9. myininaya
    • 5 years ago
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    :) YES!

  10. smurfy14
    • 5 years ago
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    whoo thanks so much!

  11. smurfy14
    • 5 years ago
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    think you could help me with one more?

  12. myininaya
    • 5 years ago
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    ok

  13. smurfy14
    • 5 years ago
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    2. Jamal has a game with 2 groups of tiles. The first group of 26 tiles is labeled with all the letter of the alphabet, The second group of 10 tiles is #0-9. If Jamal draws one letter tile and one # tile at the random, what is the probability that he will draw a letter in his name and an odd number? A. (1/13) B. (5/52) C. (1/4) D. (7/26)

  14. myininaya
    • 5 years ago
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    i got 17/26 :(

  15. myininaya
    • 5 years ago
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    let me think about it

  16. smurfy14
    • 5 years ago
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    ok and ya all the answers tht i was getting werent on there either :P

  17. myininaya
    • 5 years ago
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    i suck at probability, but give me a few and I will think

  18. anonymous
    • 5 years ago
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    I get A

  19. smurfy14
    • 5 years ago
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    could u plz explain it to me?

  20. myininaya
    • 5 years ago
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    did you P(AUB)=P(A)+P(B)-P(A and B)

  21. anonymous
    • 5 years ago
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    No, I used the probability of two independent events is their product.

  22. anonymous
    • 5 years ago
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    So how many ways can Jamal draw a letter that is in his name?

  23. smurfy14
    • 5 years ago
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    jaml

  24. myininaya
    • 5 years ago
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    its independent events because A has nothing to do with B good thinking bond

  25. anonymous
    • 5 years ago
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    right, so 4/26

  26. smurfy14
    • 5 years ago
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    someone explain how rhey got A!

  27. myininaya
    • 5 years ago
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    dont worry about A

  28. anonymous
    • 5 years ago
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    Now, how about the probability of pulling an odd tile?

  29. smurfy14
    • 5 years ago
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    1/10

  30. myininaya
    • 5 years ago
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    how many odd numbers are between 0 and 9?

  31. smurfy14
    • 5 years ago
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    ohhhh ODD 5/10!

  32. myininaya
    • 5 years ago
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    ok so since they are independent events you multiply the (5/10)(4/26)

  33. smurfy14
    • 5 years ago
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    ok see ididnt get it bc ithought it said 1/10 not 5/10 imissedthe odd part lol thanks!!

  34. myininaya
    • 5 years ago
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    lol

  35. smurfy14
    • 5 years ago
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    one more q! 3^2x=7^(x-1)

  36. anonymous
    • 5 years ago
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    Eeek, that doesn't look good...

  37. smurfy14
    • 5 years ago
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    hahaha

  38. myininaya
    • 5 years ago
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    q! is read as q factorial?

  39. myininaya
    • 5 years ago
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    jk lol i know you mean another question!

  40. myininaya
    • 5 years ago
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    take the natural log of both sides

  41. smurfy14
    • 5 years ago
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    you mean get the decimal form of both? if so thats what i did but for some reason i came out with a negative # :(

  42. myininaya
    • 5 years ago
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    ln3^(2x)=ln7^(x-1)

  43. myininaya
    • 5 years ago
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    2xln3=(x-1)ln7

  44. myininaya
    • 5 years ago
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    2xln3=xln7-ln7

  45. myininaya
    • 5 years ago
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    2xln3-xln7=-ln7

  46. myininaya
    • 5 years ago
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    x(2ln3-ln7)=-ln7

  47. myininaya
    • 5 years ago
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    x=-ln7/(2ln3-ln7)

  48. myininaya
    • 5 years ago
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    x=-ln7/(ln8-ln7)

  49. myininaya
    • 5 years ago
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    x=-ln7/(ln(8/7))

  50. smurfy14
    • 5 years ago
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    ok i see so b4 i write the work does the answer comeout positive?

  51. myininaya
    • 5 years ago
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    you have a negative in front of it so its negative

  52. smurfy14
    • 5 years ago
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    ok so were allowed to have a negative as the answer?

  53. myininaya
    • 5 years ago
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    ln(negative)=does not exist ln(0) does not exist -lna exist if a>0

  54. smurfy14
    • 5 years ago
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    so the answer is?

  55. myininaya
    • 5 years ago
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    the answer to?

  56. myininaya
    • 5 years ago
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    are we still talking about the previous solution?

  57. smurfy14
    • 5 years ago
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    ya the one with the negative

  58. myininaya
    • 5 years ago
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    so you are saying its not a solution? why do you say that?

  59. smurfy14
    • 5 years ago
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    what? i just want to know what you got for the answer lol

  60. myininaya
    • 5 years ago
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    we can check it to see

  61. smurfy14
    • 5 years ago
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    youre confusing me

  62. myininaya
    • 5 years ago
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    you want to know if it is a solution. if you ever have doubt about something, check it

  63. smurfy14
    • 5 years ago
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    no i dont want to know if it is a solution i just want to know the answer lol so would the answer be "no solution"?

  64. myininaya
    • 5 years ago
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    give me just sec and i will check k??

  65. myininaya
    • 5 years ago
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    it is a solution if i did each step correctly

  66. smurfy14
    • 5 years ago
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    so the final answer is....?

  67. smurfy14
    • 5 years ago
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    you know like x=?

  68. myininaya
    • 5 years ago
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    i can scroll back up and look just sec

  69. myininaya
    • 5 years ago
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    it says x=-ln(7)/(ln(8/7))

  70. smurfy14
    • 5 years ago
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    so if you put that in your calc what is the number? (sorry i dont have a good calc with me)

  71. myininaya
    • 5 years ago
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    > evalf(solve(3^(2*x) = 7^(x-1))); -7.742930467 >

  72. smurfy14
    • 5 years ago
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    ok thanks!

  73. myininaya
    • 5 years ago
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    smurfy it is not easy to check the solution, but it is the solution because exponential functions are continuous everywhere

  74. myininaya
    • 5 years ago
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    but logarithmic functions are not continuous everywhere log(baseb)x=lnx/lnb so whenever the base is 1 or negative or 0 and whenever x is negative or 0, the the function is undefined

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