anonymous
  • anonymous
(log3ofx)(logxof2x)(log2xof4)=logxof 4^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
|dw:1370109318603:dw|
asnaseer
  • asnaseer
use the change of base formula to express everything as log base x. you should then be able to solve this.
anonymous
  • anonymous
i end up with log base 3 of 4 equals log base x of 4^2

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More answers

RadEn
  • RadEn
then by using the property of log, right side be equal : log_3 (4) = log_(x^.5) (4)
RadEn
  • RadEn
now, u can take the equation : x^.5 = 3 square both sides, get your answer (x)
anonymous
  • anonymous
how is log_(x^.5) (4)?
RadEn
  • RadEn
use the property : |dw:1370110558826:dw|
RadEn
  • RadEn
damn, backward. i mean : |dw:1370110675081:dw|
RadEn
  • RadEn
got it ?
anonymous
  • anonymous
ah okay thanks, didnt know about that property.
anonymous
  • anonymous
no wait, im wondering, how did you get log_(x^.5) (4)?
anonymous
  • anonymous
how does log base x of 4 squared equal log_(x^.5) (4)?
anonymous
  • anonymous
?
RadEn
  • RadEn
well, i will prove that log_(x^.5) (4) = log base x of 4 squared log_(x^.5) (4) = log 4/log x^.5 , agree ?
RadEn
  • RadEn
u have to familiar with the property : log base a (b) = log b /log a
RadEn
  • RadEn
hello, got it ?
anonymous
  • anonymous
is that even a property
anonymous
  • anonymous
yeah okay say thats a property, how can you prove that
RadEn
  • RadEn
yup, but that;s just a start to proving it next, log_(x^.5) (4) = log 4/log x^.5 = log 4 / (1/2 * log x) , agree ?
anonymous
  • anonymous
yeah
RadEn
  • RadEn
ok, then it can becomes = 2 log 4 / log x, right ?
RadEn
  • RadEn
|dw:1370120196301:dw|
RadEn
  • RadEn
|dw:1370120382030:dw|
RadEn
  • RadEn
that's why log_(x^.5) (4) = log base x of 4 squared
anonymous
  • anonymous
2 log 4 divided by log x equals 2 log base x of 4? are you sure?
anonymous
  • anonymous
oh nvm i got it
RadEn
  • RadEn
yes, i used the other property :) sorry ;)
RadEn
  • RadEn
so, what's the problem here ? which parts u get stuck ?
RadEn
  • RadEn
maybe, let's see my coment before i got : log_3 (4) = log_(x^.5) (4)
RadEn
  • RadEn
|dw:1370120846618:dw|
RadEn
  • RadEn
i told u, square both sides will gives us 3^2 = (x^0.5)^2 9 = x is it clear ?
anonymous
  • anonymous
yeah

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