5*Log(3x)+3*log(5x)=15

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Solution for 5*Log(3x)+3*log(5x)=15 equation: 


Simplifying
5Log(3x) + 3log(5x) = 15

Remove parenthesis around (3x)
5goL * 3x + 3log(5x) = 15

Reorder the terms for easier multiplication:
5 * 3goL * x + 3log(5x) = 15

Multiply 5 * 3
15goL * x + 3log(5x) = 15

Multiply goL * x
15goxL + 3log(5x) = 15

Remove parenthesis around (5x)
15goxL + 3glo * 5x = 15

Reorder the terms for easier multiplication:
15goxL + 3 * 5glo * x = 15

Multiply 3 * 5
15goxL + 15glo * x = 15

Multiply glo * x
15goxL + 15glox = 15

Reorder the terms:
15glox + 15goxL = 15

Solving
15glox + 15goxL = 15

Solving for variable 'g'.

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

Reorder the terms:
-15 + 15glox + 15goxL = 15 + -15

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

Factor out the Greatest Common Factor (GCF), '15'.
15(-1 + glox + goxL) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(-1 + glox + goxL)' equal to zero and attempt to solve:

Simplifying
-1 + glox + goxL = 0

Solving
-1 + glox + goxL = 0

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

Add '1' to each side of the equation.
-1 + glox + 1 + goxL = 0 + 1

Reorder the terms:
-1 + 1 + glox + goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + glox + goxL = 0 + 1
glox + goxL = 0 + 1

Combine like terms: 0 + 1 = 1
glox + goxL = 1

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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