Log[5](x+20)-log[5](x-4)=2

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Solution for Log[5](x+20)-log[5](x-4)=2 equation: 


Simplifying
Log[5](x + 20) + -1log[5](x + -4) = 2

Reorder the terms:
goL * 5(20 + x) + -1log[5](x + -4) = 2

Reorder the terms for easier multiplication:
5goL(20 + x) + -1log[5](x + -4) = 2
(20 * 5goL + x * 5goL) + -1log[5](x + -4) = 2
(100goL + 5goxL) + -1log[5](x + -4) = 2

Reorder the terms:
100goL + 5goxL + -1glo * 5(-4 + x) = 2

Reorder the terms for easier multiplication:
100goL + 5goxL + -1 * 5glo(-4 + x) = 2

Multiply -1 * 5
100goL + 5goxL + -5glo(-4 + x) = 2
100goL + 5goxL + (-4 * -5glo + x * -5glo) = 2
100goL + 5goxL + (20glo + -5glox) = 2

Reorder the terms:
20glo + -5glox + 100goL + 5goxL = 2

Solving
20glo + -5glox + 100goL + 5goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 20glo + -5glox + 100goL + 5goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 20glo + -5glox + 100goL + 5goxL = 0

The solution to this equation could not be determined.

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