Log(8)16+log(8)(x-2)=2

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Solution for Log(8)16+log(8)(x-2)=2 equation: 


Simplifying
Log(8) * 16 + log(8)(x + -2) = 2

Reorder the terms for easier multiplication:
8 * 16goL + log(8)(x + -2) = 2

Multiply 8 * 16
128goL + log(8)(x + -2) = 2

Reorder the terms:
128goL + glo * 8(-2 + x) = 2

Reorder the terms for easier multiplication:
128goL + 8glo(-2 + x) = 2
128goL + (-2 * 8glo + x * 8glo) = 2
128goL + (-16glo + 8glox) = 2

Reorder the terms:
-16glo + 8glox + 128goL = 2

Solving
-16glo + 8glox + 128goL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -16glo + 8glox + 128goL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -16glo + 8glox + 128goL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -8glo + 4glox + 64goL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -8glo + 4glox + 64goL)' equal to zero and attempt to solve:

Simplifying
-1 + -8glo + 4glox + 64goL = 0

Solving
-1 + -8glo + 4glox + 64goL = 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 + 4glox + 1 + 64goL = 0 + 1

Reorder the terms:
-1 + 1 + -8glo + 4glox + 64goL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -8glo + 4glox + 64goL = 0 + 1
-8glo + 4glox + 64goL = 0 + 1

Combine like terms: 0 + 1 = 1
-8glo + 4glox + 64goL = 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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