log[5](x+7)=log[5](x+3)+1

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Solution for log[5](x+7)=log[5](x+3)+1 equation:


Simplifying
log[5](x + 7) = log[5](x + 3) + 1

Reorder the terms:
glo * 5(7 + x) = log[5](x + 3) + 1

Reorder the terms for easier multiplication:
5glo(7 + x) = log[5](x + 3) + 1
(7 * 5glo + x * 5glo) = log[5](x + 3) + 1
(35glo + 5glox) = log[5](x + 3) + 1

Reorder the terms:
35glo + 5glox = glo * 5(3 + x) + 1

Reorder the terms for easier multiplication:
35glo + 5glox = 5glo(3 + x) + 1
35glo + 5glox = (3 * 5glo + x * 5glo) + 1
35glo + 5glox = (15glo + 5glox) + 1

Reorder the terms:
35glo + 5glox = 1 + 15glo + 5glox

Add '-5glox' to each side of the equation.
35glo + 5glox + -5glox = 1 + 15glo + 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
35glo + 0 = 1 + 15glo + 5glox + -5glox
35glo = 1 + 15glo + 5glox + -5glox

Combine like terms: 5glox + -5glox = 0
35glo = 1 + 15glo + 0
35glo = 1 + 15glo

Solving
35glo = 1 + 15glo

Solving for variable 'g'.

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

Add '-15glo' to each side of the equation.
35glo + -15glo = 1 + 15glo + -15glo

Combine like terms: 35glo + -15glo = 20glo
20glo = 1 + 15glo + -15glo

Combine like terms: 15glo + -15glo = 0
20glo = 1 + 0
20glo = 1

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

Simplifying
g = 0.05l-1o-1

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