xLog(15)=Log(3)

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Solution for xLog(15)=Log(3) equation: 


Simplifying
xLog(15) = Log(3)

Reorder the terms for easier multiplication:
15goxL = Log(3)

Reorder the terms for easier multiplication:
15goxL = 3goL

Solving
15goxL = 3goL

Solving for variable 'g'.

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

Add '-3goL' to each side of the equation.
-3goL + 15goxL = 3goL + -3goL

Combine like terms: 3goL + -3goL = 0
-3goL + 15goxL = 0

Factor out the Greatest Common Factor (GCF), '3goL'.
3goL(-1 + 5x) = 0

Ignore the factor 3.

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

Simplifying
goL = 0

Solving
goL = 0

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

Simplifying
goL = 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 '(-1 + 5x)' equal to zero and attempt to solve:

Simplifying
-1 + 5x = 0

Solving
-1 + 5x = 0

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

Add '1' to each side of the equation.
-1 + 1 + 5x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 0 + 1
5x = 0 + 1

Combine like terms: 0 + 1 = 1
5x = 1

Add '-5x' to each side of the equation.
5x + -5x = 1 + -5x

Combine like terms: 5x + -5x = 0
0 = 1 + -5x

Simplifying
0 = 1 + -5x

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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