log(x)+log(x-17)=log(110)

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Solution for log(x)+log(x-17)=log(110) equation: 


Simplifying
log(x) + log(x + -17) = log(110)

Multiply glo * x
glox + log(x + -17) = log(110)

Reorder the terms:
glox + glo(-17 + x) = log(110)
glox + (-17 * glo + x * glo) = log(110)
glox + (-17glo + glox) = log(110)

Reorder the terms:
-17glo + glox + glox = log(110)

Combine like terms: glox + glox = 2glox
-17glo + 2glox = log(110)

Reorder the terms for easier multiplication:
-17glo + 2glox = 110glo

Solving
-17glo + 2glox = 110glo

Solving for variable 'g'.

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

Add '-110glo' to each side of the equation.
-17glo + -110glo + 2glox = 110glo + -110glo

Combine like terms: -17glo + -110glo = -127glo
-127glo + 2glox = 110glo + -110glo

Combine like terms: 110glo + -110glo = 0
-127glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-127 + 2x) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(-127 + 2x)' equal to zero and attempt to solve:

Simplifying
-127 + 2x = 0

Solving
-127 + 2x = 0

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

Add '127' to each side of the equation.
-127 + 127 + 2x = 0 + 127

Combine like terms: -127 + 127 = 0
0 + 2x = 0 + 127
2x = 0 + 127

Combine like terms: 0 + 127 = 127
2x = 127

Add '-2x' to each side of the equation.
2x + -2x = 127 + -2x

Combine like terms: 2x + -2x = 0
0 = 127 + -2x

Simplifying
0 = 127 + -2x

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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