Log^6(2x-5)=log(8x+19)

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Solution for Log^6(2x-5)=log(8x+19) equation: 


Simplifying
Log6(2x + -5) = log(8x + 19)

Reorder the terms:
g6oL(-5 + 2x) = log(8x + 19)
(-5 * g6oL + 2x * g6oL) = log(8x + 19)
(-5g6oL + 2g6oxL) = log(8x + 19)

Reorder the terms:
-5g6oL + 2g6oxL = glo(19 + 8x)
-5g6oL + 2g6oxL = (19 * glo + 8x * glo)
-5g6oL + 2g6oxL = (19glo + 8glox)

Solving
-5g6oL + 2g6oxL = 19glo + 8glox

Solving for variable 'g'.

Reorder the terms:
-19glo + -8glox + -5g6oL + 2g6oxL = 19glo + 8glox + -19glo + -8glox

Reorder the terms:
-19glo + -8glox + -5g6oL + 2g6oxL = 19glo + -19glo + 8glox + -8glox

Combine like terms: 19glo + -19glo = 0
-19glo + -8glox + -5g6oL + 2g6oxL = 0 + 8glox + -8glox
-19glo + -8glox + -5g6oL + 2g6oxL = 8glox + -8glox

Combine like terms: 8glox + -8glox = 0
-19glo + -8glox + -5g6oL + 2g6oxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-19l + -8lx + -5g5L + 2g5xL) = 0


Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-19l + -8lx + -5g5L + 2g5xL)' equal to zero and attempt to solve:

Simplifying
-19l + -8lx + -5g5L + 2g5xL = 0

Reorder the terms:
-5g5L + 2g5xL + -19l + -8lx = 0

Solving
-5g5L + 2g5xL + -19l + -8lx = 0

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

Add '19l' to each side of the equation.
-5g5L + 2g5xL + -19l + 19l + -8lx = 0 + 19l

Combine like terms: -19l + 19l = 0
-5g5L + 2g5xL + 0 + -8lx = 0 + 19l
-5g5L + 2g5xL + -8lx = 0 + 19l
Remove the zero:
-5g5L + 2g5xL + -8lx = 19l

Add '8lx' to each side of the equation.
-5g5L + 2g5xL + -8lx + 8lx = 19l + 8lx

Combine like terms: -8lx + 8lx = 0
-5g5L + 2g5xL + 0 = 19l + 8lx
-5g5L + 2g5xL = 19l + 8lx

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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