log(4)(9x+5)-log(4)(2x+2)=1

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Solution for log(4)(9x+5)-log(4)(2x+2)=1 equation:


Simplifying
log(4)(9x + 5) + -1log(4)(2x + 2) = 1

Reorder the terms:
glo * 4(5 + 9x) + -1log(4)(2x + 2) = 1

Reorder the terms for easier multiplication:
4glo(5 + 9x) + -1log(4)(2x + 2) = 1
(5 * 4glo + 9x * 4glo) + -1log(4)(2x + 2) = 1
(20glo + 36glox) + -1log(4)(2x + 2) = 1

Reorder the terms:
20glo + 36glox + -1glo * 4(2 + 2x) = 1

Reorder the terms for easier multiplication:
20glo + 36glox + -1 * 4glo(2 + 2x) = 1

Multiply -1 * 4
20glo + 36glox + -4glo(2 + 2x) = 1
20glo + 36glox + (2 * -4glo + 2x * -4glo) = 1
20glo + 36glox + (-8glo + -8glox) = 1

Reorder the terms:
20glo + -8glo + 36glox + -8glox = 1

Combine like terms: 20glo + -8glo = 12glo
12glo + 36glox + -8glox = 1

Combine like terms: 36glox + -8glox = 28glox
12glo + 28glox = 1

Solving
12glo + 28glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 12glo + 28glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 12glo + 28glox = 0

The solution to this equation could not be determined.

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