log(2)2x=log(2)3x-6

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Solution for log(2)2x=log(2)3x-6 equation:


Simplifying
log(2) * 2x = log(2) * 3x + -6

Reorder the terms for easier multiplication:
2 * 2glo * x = log(2) * 3x + -6

Multiply 2 * 2
4glo * x = log(2) * 3x + -6

Multiply glo * x
4glox = log(2) * 3x + -6

Reorder the terms for easier multiplication:
4glox = 2 * 3glo * x + -6

Multiply 2 * 3
4glox = 6glo * x + -6

Multiply glo * x
4glox = 6glox + -6

Reorder the terms:
4glox = -6 + 6glox

Solving
4glox = -6 + 6glox

Solving for variable 'g'.

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

Add '-6glox' to each side of the equation.
4glox + -6glox = -6 + 6glox + -6glox

Combine like terms: 4glox + -6glox = -2glox
-2glox = -6 + 6glox + -6glox

Combine like terms: 6glox + -6glox = 0
-2glox = -6 + 0
-2glox = -6

Divide each side by '-2lox'.
g = 3l-1o-1x-1

Simplifying
g = 3l-1o-1x-1

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