log[4](2x-15)-log[4](x-4)=1

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Solution for log[4](2x-15)-log[4](x-4)=1 equation:


Simplifying
log[4](2x + -15) + -1log[4](x + -4) = 1

Reorder the terms:
glo * 4(-15 + 2x) + -1log[4](x + -4) = 1

Reorder the terms for easier multiplication:
4glo(-15 + 2x) + -1log[4](x + -4) = 1
(-15 * 4glo + 2x * 4glo) + -1log[4](x + -4) = 1
(-60glo + 8glox) + -1log[4](x + -4) = 1

Reorder the terms:
-60glo + 8glox + -1glo * 4(-4 + x) = 1

Reorder the terms for easier multiplication:
-60glo + 8glox + -1 * 4glo(-4 + x) = 1

Multiply -1 * 4
-60glo + 8glox + -4glo(-4 + x) = 1
-60glo + 8glox + (-4 * -4glo + x * -4glo) = 1
-60glo + 8glox + (16glo + -4glox) = 1

Reorder the terms:
-60glo + 16glo + 8glox + -4glox = 1

Combine like terms: -60glo + 16glo = -44glo
-44glo + 8glox + -4glox = 1

Combine like terms: 8glox + -4glox = 4glox
-44glo + 4glox = 1

Solving
-44glo + 4glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -44glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -44glo + 4glox = 0

The solution to this equation could not be determined.

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