Log[2](2x+6)-log[2]x=3

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Solution for Log[2](2x+6)-log[2]x=3 equation:


Simplifying
Log[2](2x + 6) + -1log[2] * x = 3

Reorder the terms:
goL * 2(6 + 2x) + -1log[2] * x = 3

Reorder the terms for easier multiplication:
2goL(6 + 2x) + -1log[2] * x = 3
(6 * 2goL + 2x * 2goL) + -1log[2] * x = 3
(12goL + 4goxL) + -1log[2] * x = 3

Reorder the terms for easier multiplication:
12goL + 4goxL + -1 * 2glo * x = 3

Multiply -1 * 2
12goL + 4goxL + -2glo * x = 3

Multiply glo * x
12goL + 4goxL + -2glox = 3

Reorder the terms:
-2glox + 12goL + 4goxL = 3

Solving
-2glox + 12goL + 4goxL = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -2glox + 12goL + 4goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -2glox + 12goL + 4goxL = 0

The solution to this equation could not be determined.

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