log[5]x-log[5](x+2)=log[5]43

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Solution for log[5]x-log[5](x+2)=log[5]43 equation:


Simplifying
log[5] * x + -1log[5](x + 2) = log[5] * 43

Reorder the terms for easier multiplication:
5glo * x + -1log[5](x + 2) = log[5] * 43

Multiply glo * x
5glox + -1log[5](x + 2) = log[5] * 43

Reorder the terms:
5glox + -1glo * 5(2 + x) = log[5] * 43

Reorder the terms for easier multiplication:
5glox + -1 * 5glo(2 + x) = log[5] * 43

Multiply -1 * 5
5glox + -5glo(2 + x) = log[5] * 43
5glox + (2 * -5glo + x * -5glo) = log[5] * 43
5glox + (-10glo + -5glox) = log[5] * 43

Reorder the terms:
-10glo + 5glox + -5glox = log[5] * 43

Combine like terms: 5glox + -5glox = 0
-10glo + 0 = log[5] * 43
-10glo = log[5] * 43

Reorder the terms for easier multiplication:
-10glo = 5 * 43glo

Multiply 5 * 43
-10glo = 215glo

Solving
-10glo = 215glo

Solving for variable 'g'.

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

Add '-215glo' to each side of the equation.
-10glo + -215glo = 215glo + -215glo

Combine like terms: -10glo + -215glo = -225glo
-225glo = 215glo + -215glo

Combine like terms: 215glo + -215glo = 0
-225glo = 0

Divide each side by '-225'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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