log(3)(8)-Log(3)(x-7)=3

Solution for log(3)(8)-Log(3)(x-7)=3 equation:

Simplifying
log(3)(8) + -1Log(3)(x + -7) = 3

Reorder the terms for easier multiplication:
3 * 8glo + -1Log(3)(x + -7) = 3

Multiply 3 * 8
24glo + -1Log(3)(x + -7) = 3

Reorder the terms:
24glo + -1goL * 3(-7 + x) = 3

Reorder the terms for easier multiplication:
24glo + -1 * 3goL(-7 + x) = 3

Multiply -1 * 3
24glo + -3goL(-7 + x) = 3
24glo + (-7 * -3goL + x * -3goL) = 3
24glo + (21goL + -3goxL) = 3

Solving
24glo + 21goL + -3goxL = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 24glo + 21goL + -3goxL = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 24glo + 21goL + -3goxL = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 8glo + 7goL + -1goxL) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + 8glo + 7goL + -1goxL)' equal to zero and attempt to solve:

Simplifying
-1 + 8glo + 7goL + -1goxL = 0

Solving
-1 + 8glo + 7goL + -1goxL = 0

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

Add '1' to each side of the equation.
-1 + 8glo + 7goL + 1 + -1goxL = 0 + 1

Reorder the terms:
-1 + 1 + 8glo + 7goL + -1goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8glo + 7goL + -1goxL = 0 + 1
8glo + 7goL + -1goxL = 0 + 1

Combine like terms: 0 + 1 = 1
8glo + 7goL + -1goxL = 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.