log(4)x-log(4)(x-6)=3

Solution for log(4)x-log(4)(x-6)=3 equation:

Simplifying
log(4) * x + -1log(4)(x + -6) = 3

Reorder the terms for easier multiplication:
4glo * x + -1log(4)(x + -6) = 3

Multiply glo * x
4glox + -1log(4)(x + -6) = 3

Reorder the terms:
4glox + -1glo * 4(-6 + x) = 3

Reorder the terms for easier multiplication:
4glox + -1 * 4glo(-6 + x) = 3

Multiply -1 * 4
4glox + -4glo(-6 + x) = 3
4glox + (-6 * -4glo + x * -4glo) = 3
4glox + (24glo + -4glox) = 3

Reorder the terms:
24glo + 4glox + -4glox = 3

Combine like terms: 4glox + -4glox = 0
24glo + 0 = 3
24glo = 3

Solving
24glo = 3

Solving for variable 'g'.

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

Divide each side by '24lo'.
g = 0.125l-1o-1

Simplifying
g = 0.125l-1o-1