Log(8)(x+5)=2

Solution for Log(8)(x+5)=2 equation:

Simplifying
Log(8)(x + 5) = 2

Reorder the terms:
goL * 8(5 + x) = 2

Reorder the terms for easier multiplication:
8goL(5 + x) = 2
(5 * 8goL + x * 8goL) = 2
(40goL + 8goxL) = 2

Solving
40goL + 8goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 40goL + 8goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 40goL + 8goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 20goL + 4goxL) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 20goL + 4goxL)' equal to zero and attempt to solve:

Simplifying
-1 + 20goL + 4goxL = 0

Solving
-1 + 20goL + 4goxL = 0

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

Add '1' to each side of the equation.
-1 + 20goL + 1 + 4goxL = 0 + 1

Reorder the terms:
-1 + 1 + 20goL + 4goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 20goL + 4goxL = 0 + 1
20goL + 4goxL = 0 + 1

Combine like terms: 0 + 1 = 1
20goL + 4goxL = 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.