7log(3x)+3log(5x)=1.5

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Solution for 7log(3x)+3log(5x)=1.5 equation:


Simplifying
7log(3x) + 3log(5x) = 1.5

Remove parenthesis around (3x)
7glo * 3x + 3log(5x) = 1.5

Reorder the terms for easier multiplication:
7 * 3glo * x + 3log(5x) = 1.5

Multiply 7 * 3
21glo * x + 3log(5x) = 1.5

Multiply glo * x
21glox + 3log(5x) = 1.5

Remove parenthesis around (5x)
21glox + 3glo * 5x = 1.5

Reorder the terms for easier multiplication:
21glox + 3 * 5glo * x = 1.5

Multiply 3 * 5
21glox + 15glo * x = 1.5

Multiply glo * x
21glox + 15glox = 1.5

Combine like terms: 21glox + 15glox = 36glox
36glox = 1.5

Solving
36glox = 1.5

Solving for variable 'g'.

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

Divide each side by '36lox'.
g = 0.04166666667l-1o-1x-1

Simplifying
g = 0.04166666667l-1o-1x-1

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