Log(x+12)=1+log(2x-3)

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Solution for Log(x+12)=1+log(2x-3) equation:


Simplifying
Log(x + 12) = 1 + log(2x + -3)

Reorder the terms:
goL(12 + x) = 1 + log(2x + -3)
(12 * goL + x * goL) = 1 + log(2x + -3)
(12goL + goxL) = 1 + log(2x + -3)

Reorder the terms:
12goL + goxL = 1 + glo(-3 + 2x)
12goL + goxL = 1 + (-3 * glo + 2x * glo)
12goL + goxL = 1 + (-3glo + 2glox)

Solving
12goL + goxL = 1 + -3glo + 2glox

Solving for variable 'g'.

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

Add '3glo' to each side of the equation.
12goL + 3glo + goxL = 1 + -3glo + 3glo + 2glox

Reorder the terms:
3glo + 12goL + goxL = 1 + -3glo + 3glo + 2glox

Combine like terms: -3glo + 3glo = 0
3glo + 12goL + goxL = 1 + 0 + 2glox
3glo + 12goL + goxL = 1 + 2glox

Add '-2glox' to each side of the equation.
3glo + 12goL + -2glox + goxL = 1 + 2glox + -2glox

Reorder the terms:
3glo + -2glox + 12goL + goxL = 1 + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
3glo + -2glox + 12goL + goxL = 1 + 0
3glo + -2glox + 12goL + goxL = 1

Reorder the terms:
-1 + 3glo + -2glox + 12goL + goxL = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 3glo + -2glox + 12goL + goxL = 0

The solution to this equation could not be determined.

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