Log[5](x+22)-log[5](x-2)=2

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Solution for Log[5](x+22)-log[5](x-2)=2 equation: 


Simplifying
Log[5](x + 22) + -1log[5](x + -2) = 2

Reorder the terms:
goL * 5(22 + x) + -1log[5](x + -2) = 2

Reorder the terms for easier multiplication:
5goL(22 + x) + -1log[5](x + -2) = 2
(22 * 5goL + x * 5goL) + -1log[5](x + -2) = 2
(110goL + 5goxL) + -1log[5](x + -2) = 2

Reorder the terms:
110goL + 5goxL + -1glo * 5(-2 + x) = 2

Reorder the terms for easier multiplication:
110goL + 5goxL + -1 * 5glo(-2 + x) = 2

Multiply -1 * 5
110goL + 5goxL + -5glo(-2 + x) = 2
110goL + 5goxL + (-2 * -5glo + x * -5glo) = 2
110goL + 5goxL + (10glo + -5glox) = 2

Reorder the terms:
10glo + -5glox + 110goL + 5goxL = 2

Solving
10glo + -5glox + 110goL + 5goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 10glo + -5glox + 110goL + 5goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 10glo + -5glox + 110goL + 5goxL = 0

The solution to this equation could not be determined.

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