log(x-3)+log(x-2)=log(2x+24)

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Solution for log(x-3)+log(x-2)=log(2x+24) equation:


Simplifying
log(x + -3) + log(x + -2) = log(2x + 24)

Reorder the terms:
glo(-3 + x) + log(x + -2) = log(2x + 24)
(-3 * glo + x * glo) + log(x + -2) = log(2x + 24)
(-3glo + glox) + log(x + -2) = log(2x + 24)

Reorder the terms:
-3glo + glox + glo(-2 + x) = log(2x + 24)
-3glo + glox + (-2 * glo + x * glo) = log(2x + 24)
-3glo + glox + (-2glo + glox) = log(2x + 24)

Reorder the terms:
-3glo + -2glo + glox + glox = log(2x + 24)

Combine like terms: -3glo + -2glo = -5glo
-5glo + glox + glox = log(2x + 24)

Combine like terms: glox + glox = 2glox
-5glo + 2glox = log(2x + 24)

Reorder the terms:
-5glo + 2glox = glo(24 + 2x)
-5glo + 2glox = (24 * glo + 2x * glo)
-5glo + 2glox = (24glo + 2glox)

Add '-2glox' to each side of the equation.
-5glo + 2glox + -2glox = 24glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-5glo + 0 = 24glo + 2glox + -2glox
-5glo = 24glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-5glo = 24glo + 0
-5glo = 24glo

Solving
-5glo = 24glo

Solving for variable 'g'.

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

Add '-24glo' to each side of the equation.
-5glo + -24glo = 24glo + -24glo

Combine like terms: -5glo + -24glo = -29glo
-29glo = 24glo + -24glo

Combine like terms: 24glo + -24glo = 0
-29glo = 0

Divide each side by '-29'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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