log(x-24)=4-log(x)

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Solution for log(x-24)=4-log(x) equation: 


Simplifying
log(x + -24) = 4 + -1log(x)

Reorder the terms:
glo(-24 + x) = 4 + -1log(x)
(-24 * glo + x * glo) = 4 + -1log(x)
(-24glo + glox) = 4 + -1log(x)

Multiply glo * x
-24glo + glox = 4 + -1glox

Solving
-24glo + glox = 4 + -1glox

Solving for variable 'g'.

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

Add 'glox' to each side of the equation.
-24glo + glox + glox = 4 + -1glox + glox

Combine like terms: glox + glox = 2glox
-24glo + 2glox = 4 + -1glox + glox

Combine like terms: -1glox + glox = 0
-24glo + 2glox = 4 + 0
-24glo + 2glox = 4

Reorder the terms:
-4 + -24glo + 2glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -24glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -12glo + glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -12glo + glox)' equal to zero and attempt to solve:

Simplifying
-2 + -12glo + glox = 0

Solving
-2 + -12glo + glox = 0

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

Add '2' to each side of the equation.
-2 + -12glo + 2 + glox = 0 + 2

Reorder the terms:
-2 + 2 + -12glo + glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -12glo + glox = 0 + 2
-12glo + glox = 0 + 2

Combine like terms: 0 + 2 = 2
-12glo + glox = 2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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