log[5](x+10)+log[5](x-10)=3

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Solution for log[5](x+10)+log[5](x-10)=3 equation:


Simplifying
log[5](x + 10) + log[5](x + -10) = 3

Reorder the terms:
glo * 5(10 + x) + log[5](x + -10) = 3

Reorder the terms for easier multiplication:
5glo(10 + x) + log[5](x + -10) = 3
(10 * 5glo + x * 5glo) + log[5](x + -10) = 3
(50glo + 5glox) + log[5](x + -10) = 3

Reorder the terms:
50glo + 5glox + glo * 5(-10 + x) = 3

Reorder the terms for easier multiplication:
50glo + 5glox + 5glo(-10 + x) = 3
50glo + 5glox + (-10 * 5glo + x * 5glo) = 3
50glo + 5glox + (-50glo + 5glox) = 3

Reorder the terms:
50glo + -50glo + 5glox + 5glox = 3

Combine like terms: 50glo + -50glo = 0
0 + 5glox + 5glox = 3
5glox + 5glox = 3

Combine like terms: 5glox + 5glox = 10glox
10glox = 3

Solving
10glox = 3

Solving for variable 'g'.

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

Divide each side by '10lox'.
g = 0.3l-1o-1x-1

Simplifying
g = 0.3l-1o-1x-1

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