logx(10x-30)-logx(5)=1

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Solution for logx(10x-30)-logx(5)=1 equation:


Simplifying
logx(10x + -30) + -1logx(5) = 1

Reorder the terms:
glox(-30 + 10x) + -1logx(5) = 1
(-30 * glox + 10x * glox) + -1logx(5) = 1
(-30glox + 10glox2) + -1logx(5) = 1

Reorder the terms for easier multiplication:
-30glox + 10glox2 + -1 * 5glox = 1

Multiply -1 * 5
-30glox + 10glox2 + -5glox = 1

Reorder the terms:
-30glox + -5glox + 10glox2 = 1

Combine like terms: -30glox + -5glox = -35glox
-35glox + 10glox2 = 1

Solving
-35glox + 10glox2 = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -35glox + 10glox2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -35glox + 10glox2 = 0

The solution to this equation could not be determined.

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