SOLUTION: Something not too clear, help needed on the following : Slove log 3 (index 3 sqrt 2) x=3 for x.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Something not too clear, help needed on the following : Slove log 3 (index 3 sqrt 2) x=3 for x.      Log On


   

Question 769241: Something not too clear, help needed on the following : Slove log 3 (index 3 sqrt 2) x=3 for x.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve::: log 3 (index 3 sqrt 2) x=3 for x
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log3[2^(1/3)x] = 3
----
log3(2^(1/3)) + log3(x) = 3
----
(1/3)[log(2)/log(3)] +log3(x) =3
0.2103 + log3(x) = 3
----
log3(x) = -2.7897
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x = 3^(-2.7897)
x = 0.0467
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Cheers,
Stan H.