SOLUTION: It has been a while since i have done logarithms so how would you go about doing this problem? 4x3^x = 7x5^x I know that you want to solve for x but I am not sure how. T

Question 210783: It has been a while since i have done logarithms so how would you go about doing this problem?
4x3^x = 7x5^x
I know that you want to solve for x but I am not sure how.
Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming that the first 'x's on each side are multiplication symbols.

Start with the given equation.

Take the log of both sides.

Break up the log using the identity

Subtract from both sides.

Subtract from both sides.

Rewrite the logs on the left side using the identity

Factor out the GCF 'x' on the left side.

Combine the logs using the identity

Divide both sides by to isolate 'x'

Approximate the answer (with a calculator)

So the exact answer is , which can be simplified to

and the approximate answer is
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