Log^7(-3m-1)=log^7(-4m-6)

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Solution for Log^7(-3m-1)=log^7(-4m-6) equation: 


Simplifying
Log7(-3m + -1) = log7(-4m + -6)

Reorder the terms:
g7oL(-1 + -3m) = log7(-4m + -6)
(-1 * g7oL + -3m * g7oL) = log7(-4m + -6)

Reorder the terms:
(-3g7moL + -1g7oL) = log7(-4m + -6)
(-3g7moL + -1g7oL) = log7(-4m + -6)

Reorder the terms:
-3g7moL + -1g7oL = g7lo(-6 + -4m)
-3g7moL + -1g7oL = (-6 * g7lo + -4m * g7lo)

Reorder the terms:
-3g7moL + -1g7oL = (-4g7lmo + -6g7lo)
-3g7moL + -1g7oL = (-4g7lmo + -6g7lo)

Solving
-3g7moL + -1g7oL = -4g7lmo + -6g7lo

Solving for variable 'g'.

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

Add '4g7lmo' to each side of the equation.
-3g7moL + 4g7lmo + -1g7oL = -4g7lmo + 4g7lmo + -6g7lo

Reorder the terms:
4g7lmo + -3g7moL + -1g7oL = -4g7lmo + 4g7lmo + -6g7lo

Combine like terms: -4g7lmo + 4g7lmo = 0
4g7lmo + -3g7moL + -1g7oL = 0 + -6g7lo
4g7lmo + -3g7moL + -1g7oL = -6g7lo

Add '6g7lo' to each side of the equation.
4g7lmo + -3g7moL + 6g7lo + -1g7oL = -6g7lo + 6g7lo

Reorder the terms:
4g7lmo + 6g7lo + -3g7moL + -1g7oL = -6g7lo + 6g7lo

Combine like terms: -6g7lo + 6g7lo = 0
4g7lmo + 6g7lo + -3g7moL + -1g7oL = 0

Factor out the Greatest Common Factor (GCF), 'g7o'.
g7o(4lm + 6l + -3mL + -1L) = 0


Subproblem 1
Set the factor 'g7o' equal to zero and attempt to solve:

Simplifying
g7o = 0

Solving
g7o = 0

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

Simplifying
g7o = 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 '(4lm + 6l + -3mL + -1L)' equal to zero and attempt to solve:

Simplifying
4lm + 6l + -3mL + -1L = 0

Reorder the terms:
-1L + 6l + 4lm + -3mL = 0

Solving
-1L + 6l + 4lm + -3mL = 0

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

Add 'L' to each side of the equation.
-1L + 6l + 4lm + L + -3mL = 0 + L

Reorder the terms:
-1L + L + 6l + 4lm + -3mL = 0 + L

Combine like terms: -1L + L = 0
0 + 6l + 4lm + -3mL = 0 + L
6l + 4lm + -3mL = 0 + L
Remove the zero:
6l + 4lm + -3mL = L

Add '-6l' to each side of the equation.
6l + 4lm + -6l + -3mL = L + -6l

Reorder the terms:
6l + -6l + 4lm + -3mL = L + -6l

Combine like terms: 6l + -6l = 0
0 + 4lm + -3mL = L + -6l
4lm + -3mL = L + -6l

Add '-4lm' to each side of the equation.
4lm + -4lm + -3mL = L + -6l + -4lm

Combine like terms: 4lm + -4lm = 0
0 + -3mL = L + -6l + -4lm
-3mL = L + -6l + -4lm

Add '3mL' to each side of the equation.
-3mL + 3mL = L + -6l + -4lm + 3mL

Combine like terms: -3mL + 3mL = 0
0 = L + -6l + -4lm + 3mL

Simplifying
0 = L + -6l + -4lm + 3mL

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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