log[4](x+8)=3-log[4](x-8)

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Solution for log[4](x+8)=3-log[4](x-8) equation:


Simplifying
log[4](x + 8) = 3 + -1log[4](x + -8)

Reorder the terms:
glo * 4(8 + x) = 3 + -1log[4](x + -8)

Reorder the terms for easier multiplication:
4glo(8 + x) = 3 + -1log[4](x + -8)
(8 * 4glo + x * 4glo) = 3 + -1log[4](x + -8)
(32glo + 4glox) = 3 + -1log[4](x + -8)

Reorder the terms:
32glo + 4glox = 3 + -1glo * 4(-8 + x)

Reorder the terms for easier multiplication:
32glo + 4glox = 3 + -1 * 4glo(-8 + x)

Multiply -1 * 4
32glo + 4glox = 3 + -4glo(-8 + x)
32glo + 4glox = 3 + (-8 * -4glo + x * -4glo)
32glo + 4glox = 3 + (32glo + -4glox)

Add '-32glo' to each side of the equation.
32glo + -32glo + 4glox = 3 + 32glo + -32glo + -4glox

Combine like terms: 32glo + -32glo = 0
0 + 4glox = 3 + 32glo + -32glo + -4glox
4glox = 3 + 32glo + -32glo + -4glox

Combine like terms: 32glo + -32glo = 0
4glox = 3 + 0 + -4glox
4glox = 3 + -4glox

Solving
4glox = 3 + -4glox

Solving for variable 'g'.

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

Add '4glox' to each side of the equation.
4glox + 4glox = 3 + -4glox + 4glox

Combine like terms: 4glox + 4glox = 8glox
8glox = 3 + -4glox + 4glox

Combine like terms: -4glox + 4glox = 0
8glox = 3 + 0
8glox = 3

Divide each side by '8lox'.
g = 0.375l-1o-1x-1

Simplifying
g = 0.375l-1o-1x-1

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