MTALHAHASSAN2
  • MTALHAHASSAN2
Solve> log (5x-2)=3
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433042081319:dw|
Nnesha
  • Nnesha
change log to exponential form |dw:1433042073554:dw|
Nnesha
  • Nnesha
\[\huge\rm log=\log_{10}\]

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More answers

MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433042120636:dw|
Nnesha
  • Nnesha
|dw:1433042242477:dw| 3 should be exponent of base and base is 10
MTALHAHASSAN2
  • MTALHAHASSAN2
so it be 10 ^3
Nnesha
  • Nnesha
yep right
MTALHAHASSAN2
  • MTALHAHASSAN2
ok
MTALHAHASSAN2
  • MTALHAHASSAN2
10^3 be 1000 right
Nnesha
  • Nnesha
yep
MTALHAHASSAN2
  • MTALHAHASSAN2
so everyone time log base be 10
Nnesha
  • Nnesha
yep log = log_{10}
MTALHAHASSAN2
  • MTALHAHASSAN2
oh ok
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433042706292:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
is it be the same thing
MTALHAHASSAN2
  • MTALHAHASSAN2
so base be 10 for this one too
Nnesha
  • Nnesha
what is .04? is it exponent ?
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433042799032:dw|
Nnesha
  • Nnesha
\[\huge\rm log 10^{-2} = .04\] like this ?
MTALHAHASSAN2
  • MTALHAHASSAN2
I do it like that but did not get the same answer
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433042894115:dw|
Nnesha
  • Nnesha
nope i'm asking which one is the original question ?
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433042957068:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
this one
Nnesha
  • Nnesha
\[\log x^{.04} = -2\] like this ?
Nnesha
  • Nnesha
.04 is exponent ?
MTALHAHASSAN2
  • MTALHAHASSAN2
no it is 0.04
MTALHAHASSAN2
  • MTALHAHASSAN2
yes it is
Nnesha
  • Nnesha
yep 0.04 is same as .04
MTALHAHASSAN2
  • MTALHAHASSAN2
x^0.04
MTALHAHASSAN2
  • MTALHAHASSAN2
so I am doing it right
Nnesha
  • Nnesha
|dw:1433043171981:dw| you should move whole thing to the right side x^0.04
Nnesha
  • Nnesha
then apply power property
Nnesha
  • Nnesha
and \[\huge\rm 10^{-2} = ???\]
MTALHAHASSAN2
  • MTALHAHASSAN2
1/100
MTALHAHASSAN2
  • MTALHAHASSAN2
right
Nnesha
  • Nnesha
yep right
MTALHAHASSAN2
  • MTALHAHASSAN2
what you get
MTALHAHASSAN2
  • MTALHAHASSAN2
I am getting like -0.03
Nnesha
  • Nnesha
mhmm take a screenshot of the question
MTALHAHASSAN2
  • MTALHAHASSAN2
how
Nnesha
  • Nnesha
with lightshot or hit prntScr in the keyboard
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433043746800:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433043795538:dw|
Nnesha
  • Nnesha
how did you subtract -,04 it is an exponent you can't do that
MTALHAHASSAN2
  • MTALHAHASSAN2
oh sorry my bad then
MTALHAHASSAN2
  • MTALHAHASSAN2
@Nnesha
MTALHAHASSAN2
  • MTALHAHASSAN2
plz help me
Australopithecus
  • Australopithecus
DO you still need help with this?
Nnesha
  • Nnesha
i'm soooo sorry *internet issues* sorry!!! :(
MTALHAHASSAN2
  • MTALHAHASSAN2
@Nnesha
MTALHAHASSAN2
  • MTALHAHASSAN2
know can you plz help me with that question
Nnesha
  • Nnesha
ohh u back let's do it !
MTALHAHASSAN2
  • MTALHAHASSAN2
ok sure
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433093342529:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
so we left from their
Nnesha
  • Nnesha
\[\huge\rm 10^{-2} = x^{0.04}\] 10^{-2} = 1/100 \[\large\rm \frac{ 1 }{ 100}=x^{0.04}\]
Nnesha
  • Nnesha
do you have a answer choices ?
MTALHAHASSAN2
  • MTALHAHASSAN2
no
MTALHAHASSAN2
  • MTALHAHASSAN2
what can we do after this step
Nnesha
  • Nnesha
okay not take ln both side and apply power rule
Nnesha
  • Nnesha
now*
Nnesha
  • Nnesha
\[\huge\rm 10^{-2} = x^{0.04}\] 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 \[\large\rm \color{reD}{ln} 0.01= \color {red}{ln}x^{0.04}\]
Nnesha
  • Nnesha
power prop.\[\large\rm ln x^y = y \ln x\] apply it
MTALHAHASSAN2
  • MTALHAHASSAN2
what you mean the In
MTALHAHASSAN2
  • MTALHAHASSAN2
by*
Nnesha
  • Nnesha
natural log have u learned it ?
Nnesha
  • Nnesha
natural log and *e" ??
Nnesha
  • Nnesha
do you know about it ?
MTALHAHASSAN2
  • MTALHAHASSAN2
I think I do
Nnesha
  • Nnesha
alright good :-)
Nnesha
  • Nnesha
\[\large\rm \color{reD}{ln} 0.01= \color {red}{ln}x^{0.04}\] try it :-)
Nnesha
  • Nnesha
ello?
MTALHAHASSAN2
  • MTALHAHASSAN2
ok
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433095640902:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
is it be like that
Nnesha
  • Nnesha
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
MTALHAHASSAN2
  • MTALHAHASSAN2
but why we are dividing both side with 0.04
Nnesha
  • Nnesha
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
Nnesha
  • Nnesha
\[\huge\rm ln 0.01 = .04 \ln x\] here you can't take *e* bec there is .04 at front of ln
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433096812958:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
is 0.25 be x
Nnesha
  • Nnesha
wait let me check
Nnesha
  • Nnesha
nope it's ln (.01) divide by .04 not just .01/.04
Nnesha
  • Nnesha
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 ?
MTALHAHASSAN2
  • MTALHAHASSAN2
second one
MTALHAHASSAN2
  • MTALHAHASSAN2
logx0.04=−2
triciaal
  • triciaal
The log of a number is the power to which the base must be raised to get that number.
triciaal
  • triciaal
as shown by @Nnesha |dw:1433111045071:dw|
triciaal
  • triciaal
|dw:1433111216199:dw|
triciaal
  • triciaal
|dw:1433111397216:dw|
triciaal
  • triciaal
|dw:1433111901139:dw|
triciaal
  • triciaal
|dw:1433112029139:dw|
dmndlife24
  • dmndlife24
Something you should probably memorize: The logarithm is the exponent you put on the base to get the argument.
Nnesha
  • Nnesha
ahh alright i asked yesterday http://prntscr.com/7bnzx0 and u said yes .04 is a exponent
Nnesha
  • Nnesha
so if it's a 2nd one then x is base of log
Nnesha
  • Nnesha
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
MTALHAHASSAN2
  • MTALHAHASSAN2
I knwo
Nnesha
  • Nnesha
so u got the answer ?let me know what u get :-)
MTALHAHASSAN2
  • MTALHAHASSAN2
I get 0.25/ or 0.004
Nnesha
  • Nnesha
how did you get .25 ?
Nnesha
  • Nnesha
\[\log_x 0.04 = -2 \] ^^^tha\[x^{-2} = ???\]t is your question change to exponential form \[\huge\rm x^{-2} = 0.04\] now \[x^{-2}= ???\]
MTALHAHASSAN2
  • MTALHAHASSAN2
0.01/0.04
MTALHAHASSAN2
  • MTALHAHASSAN2
but isn't log base be 10
Nnesha
  • Nnesha
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
Nnesha
  • Nnesha
log = log_10 but in that question given base is x
Nnesha
  • Nnesha
when they just gave you log without any base then you need to use 10
MTALHAHASSAN2
  • MTALHAHASSAN2
oh ok
Nnesha
  • Nnesha
|dw:1433112209702:dw|' now solve this
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433112345039:dw|
MTALHAHASSAN2
  • MTALHAHASSAN2
right
Nnesha
  • Nnesha
yep right cross multiply then solve for x
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433112422389:dw|
Nnesha
  • Nnesha
yep right solve for x^2
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433112507437:dw|
Nnesha
  • Nnesha
-.04 ?
Nnesha
  • Nnesha
0.04 is multiplying with x^2 how would you cancel it ?
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433112651173:dw|
Nnesha
  • Nnesha
nope nope
MTALHAHASSAN2
  • MTALHAHASSAN2
oh
Nnesha
  • Nnesha
1 = 0.04x^2 what is opposite of multiply ? do that to cancel out .04 from right side
MTALHAHASSAN2
  • MTALHAHASSAN2
|dw:1433112883319:dw|
Nnesha
  • Nnesha
perfect!
MTALHAHASSAN2
  • MTALHAHASSAN2
thnx a lot again
Nnesha
  • Nnesha
my pleasure :-) great work!

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