SOLUTION: solve for x: {{{5^x=62}}}

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Question 119531: solve for x: 5%5Ex=62
Found 2 solutions by Fombitz, stanbon:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
5%5Ex=62
x=log%285%2C62%29
x=log%2810%2C62%29%2Flog%2810%2C5%29
x=1.792%2F0.699
x=2.564
Check your answer.
5%5Ex=62
5%5E%282.564%29=62
61.9668=62
Close enough?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5^x=62
Take the log of both sides to get:
x(log5) = log62
x = [log62]/[log5]
x = 2.5643......
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Cheers,
Stan H.