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

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Solution for 7*Log(3x)+3*log(5x)=15 equation: 


Simplifying
7Log(3x) + 3log(5x) = 15

Remove parenthesis around (3x)
7goL * 3x + 3log(5x) = 15

Reorder the terms for easier multiplication:
7 * 3goL * x + 3log(5x) = 15

Multiply 7 * 3
21goL * x + 3log(5x) = 15

Multiply goL * x
21goxL + 3log(5x) = 15

Remove parenthesis around (5x)
21goxL + 3glo * 5x = 15

Reorder the terms for easier multiplication:
21goxL + 3 * 5glo * x = 15

Multiply 3 * 5
21goxL + 15glo * x = 15

Multiply glo * x
21goxL + 15glox = 15

Reorder the terms:
15glox + 21goxL = 15

Solving
15glox + 21goxL = 15

Solving for variable 'g'.

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

Reorder the terms:
-15 + 15glox + 21goxL = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + 15glox + 21goxL = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 5glox + 7goxL) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + 5glox + 7goxL)' equal to zero and attempt to solve:

Simplifying
-5 + 5glox + 7goxL = 0

Solving
-5 + 5glox + 7goxL = 0

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

Add '5' to each side of the equation.
-5 + 5glox + 5 + 7goxL = 0 + 5

Reorder the terms:
-5 + 5 + 5glox + 7goxL = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 5glox + 7goxL = 0 + 5
5glox + 7goxL = 0 + 5

Combine like terms: 0 + 5 = 5
5glox + 7goxL = 5

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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