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

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


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

Remove parenthesis around (3x)
7gl * 3x + 3lg(5x) = 15

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

Multiply 7 * 3
21gl * x + 3lg(5x) = 15

Multiply gl * x
21glx + 3lg(5x) = 15

Remove parenthesis around (5x)
21glx + 3gl * 5x = 15

Reorder the terms for easier multiplication:
21glx + 3 * 5gl * x = 15

Multiply 3 * 5
21glx + 15gl * x = 15

Multiply gl * x
21glx + 15glx = 15

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

Solving
36glx = 15

Solving for variable 'g'.

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

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

Simplifying
g = 0.4166666667l-1x-1

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