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!

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(75887) (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.
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