log(3)(3x+2)-log(27)(64)=1

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Solution for log(3)(3x+2)-log(27)(64)=1 equation: 


Simplifying
log(3)(3x + 2) + -1log(27)(64) = 1

Reorder the terms:
glo * 3(2 + 3x) + -1log(27)(64) = 1

Reorder the terms for easier multiplication:
3glo(2 + 3x) + -1log(27)(64) = 1
(2 * 3glo + 3x * 3glo) + -1log(27)(64) = 1
(6glo + 9glox) + -1log(27)(64) = 1

Reorder the terms for easier multiplication:
6glo + 9glox + -1 * 27 * 64glo = 1

Multiply -1 * 27
6glo + 9glox + -27 * 64glo = 1

Multiply -27 * 64
6glo + 9glox + -1728glo = 1

Reorder the terms:
6glo + -1728glo + 9glox = 1

Combine like terms: 6glo + -1728glo = -1722glo
-1722glo + 9glox = 1

Solving
-1722glo + 9glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -1722glo + 9glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -1722glo + 9glox = 0

The solution to this equation could not be determined.

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