# SOLUTION: Solve for x: 2log5 10 - 1/4log5 x = log5 50 I know the answer is 16, but I don't know why or where to start on solving it. Thanks!

Algebra ->  Algebra  -> Exponential-and-logarithmic-functions -> SOLUTION: Solve for x: 2log5 10 - 1/4log5 x = log5 50 I know the answer is 16, but I don't know why or where to start on solving it. Thanks!      Log On

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 Click here to see ALL problems on Exponential-and-logarithmic-functions Question 136040: Solve for x: 2log5 10 - 1/4log5 x = log5 50 I know the answer is 16, but I don't know why or where to start on solving it. Thanks!Answer by stanbon(57967)   (Show Source): You can put this solution on YOUR website!Solve for x: 2log5 10 - 1/4log5 x = log5 50 log5 100 - log5 x^(1/4) = log5 50 log4[100/x^(1/5)] = log5 50 ---------- 100/x^(1/4) = 50 x^(1/4) = 100/50 x^(1/4) = 2 x = 2^4 x = 16 ============= Cheers, Stan H.