logx(2x-3)+logx(x+2)=2

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Solution for logx(2x-3)+logx(x+2)=2 equation:


Simplifying
logx(2x + -3) + logx(x + 2) = 2

Reorder the terms:
glox(-3 + 2x) + logx(x + 2) = 2
(-3 * glox + 2x * glox) + logx(x + 2) = 2
(-3glox + 2glox2) + logx(x + 2) = 2

Reorder the terms:
-3glox + 2glox2 + glox(2 + x) = 2
-3glox + 2glox2 + (2 * glox + x * glox) = 2
-3glox + 2glox2 + (2glox + glox2) = 2

Reorder the terms:
-3glox + 2glox + 2glox2 + glox2 = 2

Combine like terms: -3glox + 2glox = -1glox
-1glox + 2glox2 + glox2 = 2

Combine like terms: 2glox2 + glox2 = 3glox2
-1glox + 3glox2 = 2

Solving
-1glox + 3glox2 = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -1glox + 3glox2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -1glox + 3glox2 = 0

The solution to this equation could not be determined.

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