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) + -1log[5](x + -4) = 1

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

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

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

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

Multiply -1 * 5
-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 = -20glo
-20glo + 5glox + -5glox = 1

Combine like terms: 5glox + -5glox = 0
-20glo + 0 = 1
-20glo = 1

Solving
-20glo = 1

Solving for variable 'g'.

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

Divide each side by '-20lo'.
g = -0.05l-1o-1

Simplifying
g = -0.05l-1o-1

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