log[9]25=2log[9]x

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Solution for log[9]25=2log[9]x equation: 


Simplifying
log[9] * 25 = 2log[9] * x

Reorder the terms for easier multiplication:
9 * 25glo = 2log[9] * x

Multiply 9 * 25
225glo = 2log[9] * x

Reorder the terms for easier multiplication:
225glo = 2 * 9glo * x

Multiply 2 * 9
225glo = 18glo * x

Multiply glo * x
225glo = 18glox

Solving
225glo = 18glox

Solving for variable 'g'.

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

Add '-18glox' to each side of the equation.
225glo + -18glox = 18glox + -18glox

Combine like terms: 18glox + -18glox = 0
225glo + -18glox = 0

Factor out the Greatest Common Factor (GCF), '9glo'.
9glo(25 + -2x) = 0

Ignore the factor 9.

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 '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Add '2x' to each side of the equation.
-2x + 2x = -25 + 2x

Combine like terms: -2x + 2x = 0
0 = -25 + 2x

Simplifying
0 = -25 + 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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