SOLUTION: solve for T using the rules of logarithms, round answer to three decimal places: 6^T=5^T+1

SOLUTION: solve for T using the rules of logarithms, round answer to three decimal places: 6^T=5^T+1

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Question 428156: solve for T using the rules of logarithms, round answer to three decimal places:
6^T=5^T+1
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
If the exponent of 5 is t+1,
t*log(6) = (t+1)*log(5) = tlog(5) + log(5)
tlog(6) - t*log(5) = log(5)
t = log(5)/(log(6) - log(5)) = log(5)/log(1.2)
t =~ 8.827

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