log[2]3x-4=log[8]x-1

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Solution for log[2]3x-4=log[8]x-1 equation:


Simplifying
log[2] * 3x + -4 = log[8] * x + -1

Reorder the terms for easier multiplication:
2 * 3glo * x + -4 = log[8] * x + -1

Multiply 2 * 3
6glo * x + -4 = log[8] * x + -1

Multiply glo * x
6glox + -4 = log[8] * x + -1

Reorder the terms:
-4 + 6glox = log[8] * x + -1

Reorder the terms for easier multiplication:
-4 + 6glox = 8glo * x + -1

Multiply glo * x
-4 + 6glox = 8glox + -1

Reorder the terms:
-4 + 6glox = -1 + 8glox

Solving
-4 + 6glox = -1 + 8glox

Solving for variable 'g'.

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

Add '-8glox' to each side of the equation.
-4 + 6glox + -8glox = -1 + 8glox + -8glox

Combine like terms: 6glox + -8glox = -2glox
-4 + -2glox = -1 + 8glox + -8glox

Combine like terms: 8glox + -8glox = 0
-4 + -2glox = -1 + 0
-4 + -2glox = -1

Add '4' to each side of the equation.
-4 + 4 + -2glox = -1 + 4

Combine like terms: -4 + 4 = 0
0 + -2glox = -1 + 4
-2glox = -1 + 4

Combine like terms: -1 + 4 = 3
-2glox = 3

Divide each side by '-2lox'.
g = -1.5l-1o-1x-1

Simplifying
g = -1.5l-1o-1x-1

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