log(3)*(x+12)-log(3)*(x-.4)=2

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Solution for log(3)*(x+12)-log(3)*(x-.4)=2 equation:


Simplifying
log(3)(x + 12) + -1log(3)(x + -0.4) = 2

Reorder the terms:
glo * 3(12 + x) + -1log(3)(x + -0.4) = 2

Reorder the terms for easier multiplication:
3glo(12 + x) + -1log(3)(x + -0.4) = 2
(12 * 3glo + x * 3glo) + -1log(3)(x + -0.4) = 2
(36glo + 3glox) + -1log(3)(x + -0.4) = 2

Reorder the terms:
36glo + 3glox + -1glo * 3(-0.4 + x) = 2

Reorder the terms for easier multiplication:
36glo + 3glox + -1 * 3glo(-0.4 + x) = 2

Multiply -1 * 3
36glo + 3glox + -3glo(-0.4 + x) = 2
36glo + 3glox + (-0.4 * -3glo + x * -3glo) = 2
36glo + 3glox + (1.2glo + -3glox) = 2

Reorder the terms:
36glo + 1.2glo + 3glox + -3glox = 2

Combine like terms: 36glo + 1.2glo = 37.2glo
37.2glo + 3glox + -3glox = 2

Combine like terms: 3glox + -3glox = 0
37.2glo + 0 = 2
37.2glo = 2

Solving
37.2glo = 2

Solving for variable 'g'.

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

Divide each side by '37.2lo'.
g = 0.05376344086l-1o-1

Simplifying
g = 0.05376344086l-1o-1

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