log(2)(x)=log(5)(25)

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Solution for log(2)(x)=log(5)(25) equation: 


Simplifying
log(2)(x) = log(5)(25)

Reorder the terms for easier multiplication:
2glo * x = log(5)(25)

Multiply glo * x
2glox = log(5)(25)

Reorder the terms for easier multiplication:
2glox = 5 * 25glo

Multiply 5 * 25
2glox = 125glo

Solving
2glox = 125glo

Solving for variable 'g'.

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

Add '-125glo' to each side of the equation.
-125glo + 2glox = 125glo + -125glo

Combine like terms: 125glo + -125glo = 0
-125glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-125 + 2x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-125 + 2x)' equal to zero and attempt to solve:

Simplifying
-125 + 2x = 0

Solving
-125 + 2x = 0

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

Add '125' to each side of the equation.
-125 + 125 + 2x = 0 + 125

Combine like terms: -125 + 125 = 0
0 + 2x = 0 + 125
2x = 0 + 125

Combine like terms: 0 + 125 = 125
2x = 125

Add '-2x' to each side of the equation.
2x + -2x = 125 + -2x

Combine like terms: 2x + -2x = 0
0 = 125 + -2x

Simplifying
0 = 125 + -2x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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