log(x^2)=log(15x)

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Solution for log(x^2)=log(15x) equation: 


Simplifying
log(x2) = log(15x)

Multiply glo * x2
glox2 = log(15x)

Remove parenthesis around (15x)
glox2 = glo * 15x

Reorder the terms for easier multiplication:
glox2 = 15glo * x

Multiply glo * x
glox2 = 15glox

Solving
glox2 = 15glox

Solving for variable 'g'.

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

Add '-15glox' to each side of the equation.
-15glox + glox2 = 15glox + -15glox

Combine like terms: 15glox + -15glox = 0
-15glox + glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glox'.
glox(-15 + x) = 0


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

Simplifying
glox = 0

Solving
glox = 0

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

Simplifying
glox = 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 '(-15 + x)' equal to zero and attempt to solve:

Simplifying
-15 + x = 0

Solving
-15 + x = 0

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

Add '15' to each side of the equation.
-15 + 15 + x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + x = 0 + 15
x = 0 + 15

Combine like terms: 0 + 15 = 15
x = 15

Add '-1x' to each side of the equation.
x + -1x = 15 + -1x

Combine like terms: x + -1x = 0
0 = 15 + -1x

Simplifying
0 = 15 + -1x

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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