Log^7(x-3)=Log^7(-2x+9)

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Solution for Log^7(x-3)=Log^7(-2x+9) equation: 


Simplifying
Log7(x + -3) = Log7(-2x + 9)

Reorder the terms:
g7oL(-3 + x) = Log7(-2x + 9)
(-3 * g7oL + x * g7oL) = Log7(-2x + 9)
(-3g7oL + g7oxL) = Log7(-2x + 9)

Reorder the terms:
-3g7oL + g7oxL = g7oL(9 + -2x)
-3g7oL + g7oxL = (9 * g7oL + -2x * g7oL)
-3g7oL + g7oxL = (9g7oL + -2g7oxL)

Solving
-3g7oL + g7oxL = 9g7oL + -2g7oxL

Solving for variable 'g'.

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

Add '-9g7oL' to each side of the equation.
-3g7oL + -9g7oL + g7oxL = 9g7oL + -9g7oL + -2g7oxL

Combine like terms: -3g7oL + -9g7oL = -12g7oL
-12g7oL + g7oxL = 9g7oL + -9g7oL + -2g7oxL

Combine like terms: 9g7oL + -9g7oL = 0
-12g7oL + g7oxL = 0 + -2g7oxL
-12g7oL + g7oxL = -2g7oxL

Add '2g7oxL' to each side of the equation.
-12g7oL + g7oxL + 2g7oxL = -2g7oxL + 2g7oxL

Combine like terms: g7oxL + 2g7oxL = 3g7oxL
-12g7oL + 3g7oxL = -2g7oxL + 2g7oxL

Combine like terms: -2g7oxL + 2g7oxL = 0
-12g7oL + 3g7oxL = 0

Factor out the Greatest Common Factor (GCF), '3g7oL'.
3g7oL(-4 + x) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'g7oL' equal to zero and attempt to solve:

Simplifying
g7oL = 0

Solving
g7oL = 0

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

Simplifying
g7oL = 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -1x

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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