log(x-4)+1=log(2x+3)

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Solution for log(x-4)+1=log(2x+3) equation:


Simplifying
log(x + -4) + 1 = log(2x + 3)

Reorder the terms:
glo(-4 + x) + 1 = log(2x + 3)
(-4 * glo + x * glo) + 1 = log(2x + 3)
(-4glo + glox) + 1 = log(2x + 3)

Reorder the terms:
1 + -4glo + glox = log(2x + 3)

Reorder the terms:
1 + -4glo + glox = glo(3 + 2x)
1 + -4glo + glox = (3 * glo + 2x * glo)
1 + -4glo + glox = (3glo + 2glox)

Solving
1 + -4glo + glox = 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.
1 + -4glo + -3glo + glox = 3glo + -3glo + 2glox

Combine like terms: -4glo + -3glo = -7glo
1 + -7glo + glox = 3glo + -3glo + 2glox

Combine like terms: 3glo + -3glo = 0
1 + -7glo + glox = 0 + 2glox
1 + -7glo + glox = 2glox

Add '-2glox' to each side of the equation.
1 + -7glo + glox + -2glox = 2glox + -2glox

Combine like terms: glox + -2glox = -1glox
1 + -7glo + -1glox = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
1 + -7glo + -1glox = 0

Add '-1' to each side of the equation.
1 + -7glo + -1 + -1glox = 0 + -1

Reorder the terms:
1 + -1 + -7glo + -1glox = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7glo + -1glox = 0 + -1
-7glo + -1glox = 0 + -1

Combine like terms: 0 + -1 = -1
-7glo + -1glox = -1

Reorder the terms:
1 + -7glo + -1glox = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -7glo + -1glox = 0

The solution to this equation could not be determined.

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