SOLUTION: Solve {{{3^(8x)=23}}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve {{{3^(8x)=23}}}      Log On


   

Question 609663: Solve 3%5E%288x%29=23
Answer by sophxmai(62) About Me  (Show Source):
You can put this solution on YOUR website!
Solve 3%5E%288x%29=23.

First, take the log of both sides
log%283%5E%288x%29%29=log%2823%29

Then move the exponent to the front of the log (it's a rule).
8xlog%283%29=log%2823%29

Now isolate the x.
8xlog%283%29=log%2823%29
8x=%28log%2823%29%29%2F%28log%283%29%29
x=%28log%2823%29%29%2F8%28log%283%29%29

That's the answer, unless you're allowed a calculator. If so, punch that into your calculator and you should get x=0.357