log(15x-50)-log(x-8)=2

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Solution for log(15x-50)-log(x-8)=2 equation: 


Simplifying
log(15x + -50) + -1log(x + -8) = 2

Reorder the terms:
glo(-50 + 15x) + -1log(x + -8) = 2
(-50 * glo + 15x * glo) + -1log(x + -8) = 2
(-50glo + 15glox) + -1log(x + -8) = 2

Reorder the terms:
-50glo + 15glox + -1glo(-8 + x) = 2
-50glo + 15glox + (-8 * -1glo + x * -1glo) = 2
-50glo + 15glox + (8glo + -1glox) = 2

Reorder the terms:
-50glo + 8glo + 15glox + -1glox = 2

Combine like terms: -50glo + 8glo = -42glo
-42glo + 15glox + -1glox = 2

Combine like terms: 15glox + -1glox = 14glox
-42glo + 14glox = 2

Solving
-42glo + 14glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -42glo + 14glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -42glo + 14glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -21glo + 7glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -21glo + 7glox)' equal to zero and attempt to solve:

Simplifying
-1 + -21glo + 7glox = 0

Solving
-1 + -21glo + 7glox = 0

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

Add '1' to each side of the equation.
-1 + -21glo + 1 + 7glox = 0 + 1

Reorder the terms:
-1 + 1 + -21glo + 7glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -21glo + 7glox = 0 + 1
-21glo + 7glox = 0 + 1

Combine like terms: 0 + 1 = 1
-21glo + 7glox = 1

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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