log[5](x+2)-log[5](x)=log[5]

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Solution for log[5](x+2)-log[5](x)=log[5] equation:


Simplifying
log[5](x + 2) + -1log[5](x) = log[5]

Reorder the terms:
glo * 5(2 + x) + -1log[5](x) = log[5]

Reorder the terms for easier multiplication:
5glo(2 + x) + -1log[5](x) = log[5]
(2 * 5glo + x * 5glo) + -1log[5](x) = log[5]
(10glo + 5glox) + -1log[5](x) = log[5]

Reorder the terms for easier multiplication:
10glo + 5glox + -1 * 5glo * x = log[5]

Multiply -1 * 5
10glo + 5glox + -5glo * x = log[5]

Multiply glo * x
10glo + 5glox + -5glox = log[5]

Combine like terms: 5glox + -5glox = 0
10glo + 0 = log[5]
10glo = log[5]

Reorder the terms for easier multiplication:
10glo = 5glo

Solving
10glo = 5glo

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
10glo + -5glo = 5glo + -5glo

Combine like terms: 10glo + -5glo = 5glo
5glo = 5glo + -5glo

Combine like terms: 5glo + -5glo = 0
5glo = 0

Divide each side by '5'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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