SOLUTION: Could you please help me with this problem Solve for x 3 to the x power = 10

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Question 27876: Could you please help me with this problem
Solve for x
3 to the x power = 10

Answer by bmauger(101) About Me  (Show Source):
You can put this solution on YOUR website!
If you don't say where you're having problems, it's hard to give the right help, but here goes anyway.
3%5Ex=10 Take the natural log of both sides:
ln%283%5Ex%29=ln%2810%29
From log rule ln%28a%5Eb%29=b%2Aln%28a%29:
x%2Aln%283%29=ln%2810%29
Divide by ln(3):
x=ln%2810%29%2Fln%283%29
Which can be written as:
x=log%283%2C10%29 or:
x=1%2F%28log%2810%2C3%29%29
or approximately 2.09590