log(x+4)-3=log(x+2)

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

Simplifying
log(x + 4) + -3 = log(x + 2)

Reorder the terms:
glo(4 + x) + -3 = log(x + 2)
(4 * glo + x * glo) + -3 = log(x + 2)
(4glo + glox) + -3 = log(x + 2)

Reorder the terms:
-3 + 4glo + glox = log(x + 2)

Reorder the terms:
-3 + 4glo + glox = glo(2 + x)
-3 + 4glo + glox = (2 * glo + x * glo)
-3 + 4glo + glox = (2glo + glox)

Add '-1glox' to each side of the equation.
-3 + 4glo + glox + -1glox = 2glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-3 + 4glo + 0 = 2glo + glox + -1glox
-3 + 4glo = 2glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-3 + 4glo = 2glo + 0
-3 + 4glo = 2glo

Solving
-3 + 4glo = 2glo

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
-3 + 4glo + -2glo = 2glo + -2glo

Combine like terms: 4glo + -2glo = 2glo
-3 + 2glo = 2glo + -2glo

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

Add '3' to each side of the equation.
-3 + 3 + 2glo = 0 + 3

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

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

Divide each side by '2lo'.
g = 1.5l-1o-1

Simplifying
g = 1.5l-1o-1