Log(8)(2x+4)-log(8)4=2

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Solution for Log(8)(2x+4)-log(8)4=2 equation: 


Simplifying
Log(8)(2x + 4) + -1log(8) * 4 = 2

Reorder the terms:
goL * 8(4 + 2x) + -1log(8) * 4 = 2

Reorder the terms for easier multiplication:
8goL(4 + 2x) + -1log(8) * 4 = 2
(4 * 8goL + 2x * 8goL) + -1log(8) * 4 = 2
(32goL + 16goxL) + -1log(8) * 4 = 2

Reorder the terms for easier multiplication:
32goL + 16goxL + -1 * 8 * 4glo = 2

Multiply -1 * 8
32goL + 16goxL + -8 * 4glo = 2

Multiply -8 * 4
32goL + 16goxL + -32glo = 2

Reorder the terms:
-32glo + 32goL + 16goxL = 2

Solving
-32glo + 32goL + 16goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -32glo + 32goL + 16goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -32glo + 32goL + 16goxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -16glo + 16goL + 8goxL) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -16glo + 16goL + 8goxL)' equal to zero and attempt to solve:

Simplifying
-1 + -16glo + 16goL + 8goxL = 0

Solving
-1 + -16glo + 16goL + 8goxL = 0

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

Add '1' to each side of the equation.
-1 + -16glo + 16goL + 1 + 8goxL = 0 + 1

Reorder the terms:
-1 + 1 + -16glo + 16goL + 8goxL = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -16glo + 16goL + 8goxL = 0 + 1
-16glo + 16goL + 8goxL = 0 + 1

Combine like terms: 0 + 1 = 1
-16glo + 16goL + 8goxL = 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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