SOLUTION: Solve 5^(x+2) = 101 for x, correct to three significant figures.

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Question 1084641: Solve 5^(x+2) = 101 for x, correct to three significant figures.
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
    
5%5E%28x%2B2%29+=+101

Take logs of both sides:

log%28%285%5E%28x%2B2%29%29%29+%22%22=%22%22+log%28%28101%29%29

%28x%2B2%29log%28%285%29%29%22%22=%22%22log%28%28101%29%29

Divide both sides by log(5)

x%2B2%22%22=%22%22log%28%28101%29%29%2Flog%28%285%29%29

x%2B2%22%22=%22%22log%28%28101%29%29%2Flog%28%285%29%29

x%2B2%22%22=%22%222.004321374%2F0.6989700043

x%2B2%22%22=%22%222.867535605

Subtract 2 from both sides:

x%22%22=%22%220.867535605, round to 0.868

Edwin