Log[5](x+12)+Log[5](x-12)=2

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Solution for Log[5](x+12)+Log[5](x-12)=2 equation: 


Simplifying
Log[5](x + 12) + Log[5](x + -12) = 2

Reorder the terms:
goL * 5(12 + x) + Log[5](x + -12) = 2

Reorder the terms for easier multiplication:
5goL(12 + x) + Log[5](x + -12) = 2
(12 * 5goL + x * 5goL) + Log[5](x + -12) = 2
(60goL + 5goxL) + Log[5](x + -12) = 2

Reorder the terms:
60goL + 5goxL + goL * 5(-12 + x) = 2

Reorder the terms for easier multiplication:
60goL + 5goxL + 5goL(-12 + x) = 2
60goL + 5goxL + (-12 * 5goL + x * 5goL) = 2
60goL + 5goxL + (-60goL + 5goxL) = 2

Reorder the terms:
60goL + -60goL + 5goxL + 5goxL = 2

Combine like terms: 60goL + -60goL = 0
0 + 5goxL + 5goxL = 2
5goxL + 5goxL = 2

Combine like terms: 5goxL + 5goxL = 10goxL
10goxL = 2

Solving
10goxL = 2

Solving for variable 'g'.

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

Divide each side by '10oxL'.
g = 0.2o-1x-1L-1

Simplifying
g = 0.2o-1x-1L-1

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