log(6)(x+32)-log(6)x-3=2

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Solution for log(6)(x+32)-log(6)x-3=2 equation:


Simplifying
log(6)(x + 32) + -1log(6) * x + -3 = 2

Reorder the terms:
glo * 6(32 + x) + -1log(6) * x + -3 = 2

Reorder the terms for easier multiplication:
6glo(32 + x) + -1log(6) * x + -3 = 2
(32 * 6glo + x * 6glo) + -1log(6) * x + -3 = 2
(192glo + 6glox) + -1log(6) * x + -3 = 2

Reorder the terms for easier multiplication:
192glo + 6glox + -1 * 6glo * x + -3 = 2

Multiply -1 * 6
192glo + 6glox + -6glo * x + -3 = 2

Multiply glo * x
192glo + 6glox + -6glox + -3 = 2

Reorder the terms:
-3 + 192glo + 6glox + -6glox = 2

Combine like terms: 6glox + -6glox = 0
-3 + 192glo + 0 = 2
-3 + 192glo = 2

Solving
-3 + 192glo = 2

Solving for variable 'g'.

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

Add '3' to each side of the equation.
-3 + 3 + 192glo = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 192glo = 2 + 3
192glo = 2 + 3

Combine like terms: 2 + 3 = 5
192glo = 5

Divide each side by '192lo'.
g = 0.02604166667l-1o-1

Simplifying
g = 0.02604166667l-1o-1

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