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

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


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

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

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

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

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

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

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

Combine like terms: 10glo + -25glo = -15glo
-15glo + 5glox + -5glox = 1

Combine like terms: 5glox + -5glox = 0
-15glo + 0 = 1
-15glo = 1

Solving
-15glo = 1

Solving for variable 'g'.

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

Divide each side by '-15lo'.
g = -0.06666666667l-1o-1

Simplifying
g = -0.06666666667l-1o-1

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