Log(4x-9)=log(3x-2)

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Solution for Log(4x-9)=log(3x-2) equation: 


Simplifying
Log(4x + -9) = log(3x + -2)

Reorder the terms:
goL(-9 + 4x) = log(3x + -2)
(-9 * goL + 4x * goL) = log(3x + -2)
(-9goL + 4goxL) = log(3x + -2)

Reorder the terms:
-9goL + 4goxL = glo(-2 + 3x)
-9goL + 4goxL = (-2 * glo + 3x * glo)
-9goL + 4goxL = (-2glo + 3glox)

Solving
-9goL + 4goxL = -2glo + 3glox

Solving for variable 'g'.

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

Add '2glo' to each side of the equation.
-9goL + 2glo + 4goxL = -2glo + 2glo + 3glox

Reorder the terms:
2glo + -9goL + 4goxL = -2glo + 2glo + 3glox

Combine like terms: -2glo + 2glo = 0
2glo + -9goL + 4goxL = 0 + 3glox
2glo + -9goL + 4goxL = 3glox

Add '-3glox' to each side of the equation.
2glo + -9goL + -3glox + 4goxL = 3glox + -3glox

Reorder the terms:
2glo + -3glox + -9goL + 4goxL = 3glox + -3glox

Combine like terms: 3glox + -3glox = 0
2glo + -3glox + -9goL + 4goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(2l + -3lx + -9L + 4xL) = 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 '(2l + -3lx + -9L + 4xL)' equal to zero and attempt to solve:

Simplifying
2l + -3lx + -9L + 4xL = 0

Reorder the terms:
-9L + 2l + -3lx + 4xL = 0

Solving
-9L + 2l + -3lx + 4xL = 0

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

Add '9L' to each side of the equation.
-9L + 2l + -3lx + 9L + 4xL = 0 + 9L

Reorder the terms:
-9L + 9L + 2l + -3lx + 4xL = 0 + 9L

Combine like terms: -9L + 9L = 0
0 + 2l + -3lx + 4xL = 0 + 9L
2l + -3lx + 4xL = 0 + 9L
Remove the zero:
2l + -3lx + 4xL = 9L

Add '-2l' to each side of the equation.
2l + -3lx + -2l + 4xL = 9L + -2l

Reorder the terms:
2l + -2l + -3lx + 4xL = 9L + -2l

Combine like terms: 2l + -2l = 0
0 + -3lx + 4xL = 9L + -2l
-3lx + 4xL = 9L + -2l

Add '3lx' to each side of the equation.
-3lx + 3lx + 4xL = 9L + -2l + 3lx

Combine like terms: -3lx + 3lx = 0
0 + 4xL = 9L + -2l + 3lx
4xL = 9L + -2l + 3lx

Add '-4xL' to each side of the equation.
4xL + -4xL = 9L + -2l + 3lx + -4xL

Combine like terms: 4xL + -4xL = 0
0 = 9L + -2l + 3lx + -4xL

Simplifying
0 = 9L + -2l + 3lx + -4xL

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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