log(5)(x+8)+log(5)(x+4)=1

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Solution for log(5)(x+8)+log(5)(x+4)=1 equation: 


Simplifying
log(5)(x + 8) + log(5)(x + 4) = 1

Reorder the terms:
glo * 5(8 + x) + log(5)(x + 4) = 1

Reorder the terms for easier multiplication:
5glo(8 + x) + log(5)(x + 4) = 1
(8 * 5glo + x * 5glo) + log(5)(x + 4) = 1
(40glo + 5glox) + log(5)(x + 4) = 1

Reorder the terms:
40glo + 5glox + glo * 5(4 + x) = 1

Reorder the terms for easier multiplication:
40glo + 5glox + 5glo(4 + x) = 1
40glo + 5glox + (4 * 5glo + x * 5glo) = 1
40glo + 5glox + (20glo + 5glox) = 1

Reorder the terms:
40glo + 20glo + 5glox + 5glox = 1

Combine like terms: 40glo + 20glo = 60glo
60glo + 5glox + 5glox = 1

Combine like terms: 5glox + 5glox = 10glox
60glo + 10glox = 1

Solving
60glo + 10glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 60glo + 10glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 60glo + 10glox = 0

The solution to this equation could not be determined.

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