log[5](x^2)+2log[5](4x)=2

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


Simplifying
log[5](x2) + 2log[5](4x) = 2

Reorder the terms for easier multiplication:
5glo * x2 + 2log[5](4x) = 2

Multiply glo * x2
5glox2 + 2log[5](4x) = 2

Remove parenthesis around (4x)
5glox2 + 2glo * 5 * 4x = 2

Reorder the terms for easier multiplication:
5glox2 + 2 * 5 * 4glo * x = 2

Multiply 2 * 5
5glox2 + 10 * 4glo * x = 2

Multiply 10 * 4
5glox2 + 40glo * x = 2

Multiply glo * x
5glox2 + 40glox = 2

Reorder the terms:
40glox + 5glox2 = 2

Solving
40glox + 5glox2 = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 40glox + 5glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 40glox + 5glox2 = 0

The solution to this equation could not be determined.

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