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

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Solution for log[5](2x+5)-log[5](x+5)=1 equation: 


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

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

Reorder the terms for easier multiplication:
5glo(5 + 2x) + -1log[5](x + 5) = 1
(5 * 5glo + 2x * 5glo) + -1log[5](x + 5) = 1
(25glo + 10glox) + -1log[5](x + 5) = 1

Reorder the terms:
25glo + 10glox + -1glo * 5(5 + x) = 1

Reorder the terms for easier multiplication:
25glo + 10glox + -1 * 5glo(5 + x) = 1

Multiply -1 * 5
25glo + 10glox + -5glo(5 + x) = 1
25glo + 10glox + (5 * -5glo + x * -5glo) = 1
25glo + 10glox + (-25glo + -5glox) = 1

Reorder the terms:
25glo + -25glo + 10glox + -5glox = 1

Combine like terms: 25glo + -25glo = 0
0 + 10glox + -5glox = 1
10glox + -5glox = 1

Combine like terms: 10glox + -5glox = 5glox
5glox = 1

Solving
5glox = 1

Solving for variable 'g'.

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

Divide each side by '5lox'.
g = 0.2l-1o-1x-1

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

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