Log(-2a)=log(7-4a)

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Solution for Log(-2a)=log(7-4a) equation: 


Simplifying
Log(-2a) = log(7 + -4a)

Remove parenthesis around (-2a)
goL * -2a = log(7 + -4a)

Reorder the terms for easier multiplication:
-2goL * a = log(7 + -4a)

Multiply goL * a
-2agoL = log(7 + -4a)
-2agoL = (7 * glo + -4a * glo)

Reorder the terms:
-2agoL = (-4aglo + 7glo)
-2agoL = (-4aglo + 7glo)

Solving
-2agoL = -4aglo + 7glo

Solving for variable 'a'.

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

Add '4aglo' to each side of the equation.
4aglo + -2agoL = -4aglo + 4aglo + 7glo

Combine like terms: -4aglo + 4aglo = 0
4aglo + -2agoL = 0 + 7glo
4aglo + -2agoL = 7glo

Combine like terms: 7glo + -7glo = 0
4aglo + -2agoL + -7glo = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(4al + -2aL + -7l) = 0


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

Simplifying
go = 0

Solving
go = 0

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

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

Simplifying
0 = -1go

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 + -2aL + -7l)' equal to zero and attempt to solve:

Simplifying
4al + -2aL + -7l = 0

Reorder the terms:
-2aL + 4al + -7l = 0

Solving
-2aL + 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.
-2aL + 4al + -7l + 7l = 0 + 7l

Combine like terms: -7l + 7l = 0
-2aL + 4al + 0 = 0 + 7l
-2aL + 4al = 0 + 7l
Remove the zero:
-2aL + 4al = 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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