log[5](2x)=4

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Solution for log[5](2x)=4 equation: 


Simplifying
log[5](2x) = 4

Remove parenthesis around (2x)
glo * 5 * 2x = 4

Reorder the terms for easier multiplication:
5 * 2glo * x = 4

Multiply 5 * 2
10glo * x = 4

Multiply glo * x
10glox = 4

Solving
10glox = 4

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Divide each side by '10lox'.
g = 0.4l-1o-1x-1

Simplifying
g = 0.4l-1o-1x-1

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