log(9)x=log(3)5

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Solution for log(9)x=log(3)5 equation: 


Simplifying
log(9) * x = log(3) * 5

Reorder the terms for easier multiplication:
9glo * x = log(3) * 5

Multiply glo * x
9glox = log(3) * 5

Reorder the terms for easier multiplication:
9glox = 3 * 5glo

Multiply 3 * 5
9glox = 15glo

Solving
9glox = 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.
-15glo + 9glox = 15glo + -15glo

Combine like terms: 15glo + -15glo = 0
-15glo + 9glox = 0

Factor out the Greatest Common Factor (GCF), '3glo'.
3glo(-5 + 3x) = 0

Ignore the factor 3.

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 '(-5 + 3x)' equal to zero and attempt to solve:

Simplifying
-5 + 3x = 0

Solving
-5 + 3x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 0 + 5
3x = 0 + 5

Combine like terms: 0 + 5 = 5
3x = 5

Add '-3x' to each side of the equation.
3x + -3x = 5 + -3x

Combine like terms: 3x + -3x = 0
0 = 5 + -3x

Simplifying
0 = 5 + -3x

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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