SOLUTION: how do you solve {{{3^x=8}}}

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Question 188314: how do you solve 3%5Ex=8
Found 2 solutions by Alan3354, Edwin McCravy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Use logarithms.
3^x = 8
Get log of both sides
x*log(3) = log(8)
x = log(8)/log(3)
x = ~ 1.892789

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
how do you solve 3%5Ex=8

3%5Ex=8

Take the log of both sides of the equation

log%283%5Ex%29=log%288%29

Use this log rule on the left side:  log%28B%5EA%29=A%2Alog%28B%29

x%2Alog%283%29=log%288%29

Divide both sides by log%283%29

x=log%288%29%2Flog%283%29

Now you get your calculator and punch in those logs and
divide them out:

x=.903089987%2F.4771212547

x=1.892789261

Edwin