log(x+3)=log(x-3)+1.5

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Solution for log(x+3)=log(x-3)+1.5 equation: 


Simplifying
log(x + 3) = log(x + -3) + 1.5

Reorder the terms:
glo(3 + x) = log(x + -3) + 1.5
(3 * glo + x * glo) = log(x + -3) + 1.5
(3glo + glox) = log(x + -3) + 1.5

Reorder the terms:
3glo + glox = glo(-3 + x) + 1.5
3glo + glox = (-3 * glo + x * glo) + 1.5
3glo + glox = (-3glo + glox) + 1.5

Reorder the terms:
3glo + glox = 1.5 + -3glo + glox

Add '-1glox' to each side of the equation.
3glo + glox + -1glox = 1.5 + -3glo + glox + -1glox

Combine like terms: glox + -1glox = 0
3glo + 0 = 1.5 + -3glo + glox + -1glox
3glo = 1.5 + -3glo + glox + -1glox

Combine like terms: glox + -1glox = 0
3glo = 1.5 + -3glo + 0
3glo = 1.5 + -3glo

Solving
3glo = 1.5 + -3glo

Solving for variable 'g'.

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

Add '3glo' to each side of the equation.
3glo + 3glo = 1.5 + -3glo + 3glo

Combine like terms: 3glo + 3glo = 6glo
6glo = 1.5 + -3glo + 3glo

Combine like terms: -3glo + 3glo = 0
6glo = 1.5 + 0
6glo = 1.5

Divide each side by '6lo'.
g = 0.25l-1o-1

Simplifying
g = 0.25l-1o-1

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