log[4]4x+14-log[4]x-8=2

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Solution for log[4]4x+14-log[4]x-8=2 equation:


Simplifying
log[4] * 4x + 14 + -1log[4] * x + -8 = 2

Reorder the terms for easier multiplication:
4 * 4glo * x + 14 + -1log[4] * x + -8 = 2

Multiply 4 * 4
16glo * x + 14 + -1log[4] * x + -8 = 2

Multiply glo * x
16glox + 14 + -1log[4] * x + -8 = 2

Reorder the terms for easier multiplication:
16glox + 14 + -1 * 4glo * x + -8 = 2

Multiply -1 * 4
16glox + 14 + -4glo * x + -8 = 2

Multiply glo * x
16glox + 14 + -4glox + -8 = 2

Reorder the terms:
14 + -8 + 16glox + -4glox = 2

Combine like terms: 14 + -8 = 6
6 + 16glox + -4glox = 2

Combine like terms: 16glox + -4glox = 12glox
6 + 12glox = 2

Solving
6 + 12glox = 2

Solving for variable 'g'.

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

Add '-6' to each side of the equation.
6 + -6 + 12glox = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 12glox = 2 + -6
12glox = 2 + -6

Combine like terms: 2 + -6 = -4
12glox = -4

Divide each side by '12lox'.
g = -0.3333333333l-1o-1x-1

Simplifying
g = -0.3333333333l-1o-1x-1

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