SOLUTION: {{{ 4^(t+1)=5^t }}} solve for t. give exact answer (no decimals, keep it in logs and whatnot). thank you

Question 365673:
solve for t. give exact answer (no decimals, keep it in logs and whatnot).
thank you
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

(t+1)*log(4) = t*log(5)
t*log(4) + log(4) = t*log(5)
t*log(5) - t*log(4) = log(4)
t*log(5/4) = log(4)
t = log(4)/log(1.25)
---------------------

Use base change
t = log(4)/log(1.25)

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