SOLUTION: Solve for x using logarithms. Give an exact answer. Do not enter a decimal approximation. 3*2^x = 8*7^x

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Question 559608: Solve for x using logarithms. Give an exact answer. Do not enter a decimal approximation.
3*2^x = 8*7^x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+3%2A2%5Ex+=+8%2A7%5Ex+
log(3) + x*log(2) = log(8) + x*log(7)
x*(log(7) - log(2)) = log(3) - log(8) - log(3/8)
x = log(3/8)/log(7/2)