7log(3x)=3log(5x)

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Solution for 7log(3x)=3log(5x) equation:


Simplifying
7log(3x) = 3log(5x)

Remove parenthesis around (3x)
7glo * 3x = 3log(5x)

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

Multiply 7 * 3
21glo * x = 3log(5x)

Multiply glo * x
21glox = 3log(5x)

Remove parenthesis around (5x)
21glox = 3glo * 5x

Reorder the terms for easier multiplication:
21glox = 3 * 5glo * x

Multiply 3 * 5
21glox = 15glo * x

Multiply glo * x
21glox = 15glox

Solving
21glox = 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.
21glox + -15glox = 15glox + -15glox

Combine like terms: 21glox + -15glox = 6glox
6glox = 15glox + -15glox

Combine like terms: 15glox + -15glox = 0
6glox = 0

Divide each side by '6'.
glox = 0

Simplifying
glox = 0

The solution to this equation could not be determined.

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