SOLUTION: log15 to the 8x power=log53

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Question 173879: log15 to the 8x power=log53

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
log%28%2815%5E%288x%29%29%29=log%28%2853%29%29

But we know that log%28b%2C%28x%5En%29%29=n%2Alog%28b%2C%28x%29%29, so:

8x%2Alog%28%2815%29%29=log%28%2853%29%29

Divide both sides by 8%2Alog%28%2815%29%29

x=%28log%28%2853%29%29%29%2F%288%2Alog%28%2815%29%29%29

That's the exact answer. If you need a numerical approximation, dig out your scientific calculator.