logx(6x-27)-logx(3)=1

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Solution for logx(6x-27)-logx(3)=1 equation:


Simplifying
logx(6x + -27) + -1logx(3) = 1

Reorder the terms:
glox(-27 + 6x) + -1logx(3) = 1
(-27 * glox + 6x * glox) + -1logx(3) = 1
(-27glox + 6glox2) + -1logx(3) = 1

Reorder the terms for easier multiplication:
-27glox + 6glox2 + -1 * 3glox = 1

Multiply -1 * 3
-27glox + 6glox2 + -3glox = 1

Reorder the terms:
-27glox + -3glox + 6glox2 = 1

Combine like terms: -27glox + -3glox = -30glox
-30glox + 6glox2 = 1

Solving
-30glox + 6glox2 = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -30glox + 6glox2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -30glox + 6glox2 = 0

The solution to this equation could not be determined.

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