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

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

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

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

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

Multiply glo * x
7(3glox) + 3(log(5x)) = 15

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

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

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

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

Multiply glo * x
21glox + 3(5glox) = 15

Remove parenthesis around (5glox)
21glox + 3 * 5glox = 15

Multiply 3 * 5
21glox + 15glox = 15

Combine like terms: 21glox + 15glox = 36glox
36glox = 15

Solving
36glox = 15

Solving for variable 'g'.

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

Divide each side by '36lox'.
g = 0.4166666667l-1o-1x-1

Simplifying
g = 0.4166666667l-1o-1x-1