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

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


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

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

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

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

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

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

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

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

Solving
10glox = 1

Solving for variable 'g'.

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

Divide each side by '10lox'.
g = 0.1l-1o-1x-1

Simplifying
g = 0.1l-1o-1x-1

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