log(3)(5x+13)-log(3)6=2

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Solution for log(3)(5x+13)-log(3)6=2 equation:


Simplifying
log(3)(5x + 13) + -1log(3) * 6 = 2

Reorder the terms:
glo * 3(13 + 5x) + -1log(3) * 6 = 2

Reorder the terms for easier multiplication:
3glo(13 + 5x) + -1log(3) * 6 = 2
(13 * 3glo + 5x * 3glo) + -1log(3) * 6 = 2
(39glo + 15glox) + -1log(3) * 6 = 2

Reorder the terms for easier multiplication:
39glo + 15glox + -1 * 3 * 6glo = 2

Multiply -1 * 3
39glo + 15glox + -3 * 6glo = 2

Multiply -3 * 6
39glo + 15glox + -18glo = 2

Reorder the terms:
39glo + -18glo + 15glox = 2

Combine like terms: 39glo + -18glo = 21glo
21glo + 15glox = 2

Solving
21glo + 15glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 21glo + 15glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 21glo + 15glox = 0

The solution to this equation could not be determined.

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