ln(3x-2)+ln(x-1)=2inx

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Solution for ln(3x-2)+ln(x-1)=2inx equation: 


Simplifying
ln(3x + -2) + ln(x + -1) = 2inx

Reorder the terms:
ln(-2 + 3x) + ln(x + -1) = 2inx
(-2 * ln + 3x * ln) + ln(x + -1) = 2inx
(-2ln + 3lnx) + ln(x + -1) = 2inx

Reorder the terms:
-2ln + 3lnx + ln(-1 + x) = 2inx
-2ln + 3lnx + (-1 * ln + x * ln) = 2inx
-2ln + 3lnx + (-1ln + lnx) = 2inx

Reorder the terms:
-2ln + -1ln + 3lnx + lnx = 2inx

Combine like terms: -2ln + -1ln = -3ln
-3ln + 3lnx + lnx = 2inx

Combine like terms: 3lnx + lnx = 4lnx
-3ln + 4lnx = 2inx

Solving
-3ln + 4lnx = 2inx

Solving for variable 'l'.

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

Reorder the terms:
-2inx + -3ln + 4lnx = 2inx + -2inx

Combine like terms: 2inx + -2inx = 0
-2inx + -3ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2ix + -3l + 4lx) = 0


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

Simplifying
n = 0

Solving
n = 0

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

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

Simplifying
0 = -1n

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 '(-2ix + -3l + 4lx)' equal to zero and attempt to solve:

Simplifying
-2ix + -3l + 4lx = 0

Solving
-2ix + -3l + 4lx = 0

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

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

Reorder the terms:
-2ix + 2ix + -3l + 4lx = 0 + 2ix

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

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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