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

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


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

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

Reorder the terms for easier multiplication:
5goL(2 + x) + -1log[5](2) = 2
(2 * 5goL + x * 5goL) + -1log[5](2) = 2
(10goL + 5goxL) + -1log[5](2) = 2

Reorder the terms for easier multiplication:
10goL + 5goxL + -1 * 5 * 2glo = 2

Multiply -1 * 5
10goL + 5goxL + -5 * 2glo = 2

Multiply -5 * 2
10goL + 5goxL + -10glo = 2

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

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

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

The solution to this equation could not be determined.

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