Log^11(7-3a)=log^11(7-4a)

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Solution for Log^11(7-3a)=log^11(7-4a) equation: 


Simplifying
Log11(7 + -3a) = log11(7 + -4a)
(7 * g11oL + -3a * g11oL) = log11(7 + -4a)

Reorder the terms:
(-3ag11oL + 7g11oL) = log11(7 + -4a)
(-3ag11oL + 7g11oL) = log11(7 + -4a)
-3ag11oL + 7g11oL = (7 * g11lo + -4a * g11lo)

Reorder the terms:
-3ag11oL + 7g11oL = (-4ag11lo + 7g11lo)
-3ag11oL + 7g11oL = (-4ag11lo + 7g11lo)

Solving
-3ag11oL + 7g11oL = -4ag11lo + 7g11lo

Solving for variable 'a'.

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

Add '4ag11lo' to each side of the equation.
-3ag11oL + 4ag11lo + 7g11oL = -4ag11lo + 4ag11lo + 7g11lo

Reorder the terms:
4ag11lo + -3ag11oL + 7g11oL = -4ag11lo + 4ag11lo + 7g11lo

Combine like terms: -4ag11lo + 4ag11lo = 0
4ag11lo + -3ag11oL + 7g11oL = 0 + 7g11lo
4ag11lo + -3ag11oL + 7g11oL = 7g11lo

Add '-7g11oL' to each side of the equation.
4ag11lo + -3ag11oL + 7g11oL + -7g11oL = 7g11lo + -7g11oL

Combine like terms: 7g11oL + -7g11oL = 0
4ag11lo + -3ag11oL + 0 = 7g11lo + -7g11oL
4ag11lo + -3ag11oL = 7g11lo + -7g11oL

Reorder the terms:
4ag11lo + -3ag11oL + -7g11lo + 7g11oL = 7g11lo + -7g11lo + -7g11oL + 7g11oL

Combine like terms: 7g11lo + -7g11lo = 0
4ag11lo + -3ag11oL + -7g11lo + 7g11oL = 0 + -7g11oL + 7g11oL
4ag11lo + -3ag11oL + -7g11lo + 7g11oL = -7g11oL + 7g11oL

Combine like terms: -7g11oL + 7g11oL = 0
4ag11lo + -3ag11oL + -7g11lo + 7g11oL = 0

Factor out the Greatest Common Factor (GCF), 'g11o'.
g11o(4al + -3aL + -7l + 7L) = 0


Subproblem 1
Set the factor 'g11o' equal to zero and attempt to solve:

Simplifying
g11o = 0

Solving
g11o = 0

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

Add '-1g11o' to each side of the equation.
g11o + -1g11o = 0 + -1g11o
Remove the zero:
0 = -1g11o

Simplifying
0 = -1g11o

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 '(4al + -3aL + -7l + 7L)' equal to zero and attempt to solve:

Simplifying
4al + -3aL + -7l + 7L = 0

Reorder the terms:
7L + -3aL + 4al + -7l = 0

Solving
7L + -3aL + 4al + -7l = 0

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

Add '-7L' to each side of the equation.
7L + -3aL + 4al + -7L + -7l = 0 + -7L

Reorder the terms:
7L + -7L + -3aL + 4al + -7l = 0 + -7L

Combine like terms: 7L + -7L = 0
0 + -3aL + 4al + -7l = 0 + -7L
-3aL + 4al + -7l = 0 + -7L
Remove the zero:
-3aL + 4al + -7l = -7L

Add '7l' to each side of the equation.
-3aL + 4al + -7l + 7l = -7L + 7l

Combine like terms: -7l + 7l = 0
-3aL + 4al + 0 = -7L + 7l
-3aL + 4al = -7L + 7l

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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