Ln(4x-5)+ln(3x-2)=3

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Solution for Ln(4x-5)+ln(3x-2)=3 equation: 


Simplifying
Ln(4x + -5) + ln(3x + -2) = 3

Reorder the terms:
nL(-5 + 4x) + ln(3x + -2) = 3
(-5 * nL + 4x * nL) + ln(3x + -2) = 3
(-5nL + 4nxL) + ln(3x + -2) = 3

Reorder the terms:
-5nL + 4nxL + ln(-2 + 3x) = 3
-5nL + 4nxL + (-2 * ln + 3x * ln) = 3
-5nL + 4nxL + (-2ln + 3lnx) = 3

Reorder the terms:
-2ln + 3lnx + -5nL + 4nxL = 3

Solving
-2ln + 3lnx + -5nL + 4nxL = 3

Solving for variable 'l'.

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

Add '5nL' to each side of the equation.
-2ln + 3lnx + -5nL + 5nL + 4nxL = 3 + 5nL

Combine like terms: -5nL + 5nL = 0
-2ln + 3lnx + 0 + 4nxL = 3 + 5nL
-2ln + 3lnx + 4nxL = 3 + 5nL

Add '-4nxL' to each side of the equation.
-2ln + 3lnx + 4nxL + -4nxL = 3 + 5nL + -4nxL

Combine like terms: 4nxL + -4nxL = 0
-2ln + 3lnx + 0 = 3 + 5nL + -4nxL
-2ln + 3lnx = 3 + 5nL + -4nxL

Reorder the terms:
-3 + -2ln + 3lnx + -5nL + 4nxL = 3 + 5nL + -4nxL + -3 + -5nL + 4nxL

Reorder the terms:
-3 + -2ln + 3lnx + -5nL + 4nxL = 3 + -3 + 5nL + -5nL + -4nxL + 4nxL

Combine like terms: 3 + -3 = 0
-3 + -2ln + 3lnx + -5nL + 4nxL = 0 + 5nL + -5nL + -4nxL + 4nxL
-3 + -2ln + 3lnx + -5nL + 4nxL = 5nL + -5nL + -4nxL + 4nxL

Combine like terms: 5nL + -5nL = 0
-3 + -2ln + 3lnx + -5nL + 4nxL = 0 + -4nxL + 4nxL
-3 + -2ln + 3lnx + -5nL + 4nxL = -4nxL + 4nxL

Combine like terms: -4nxL + 4nxL = 0
-3 + -2ln + 3lnx + -5nL + 4nxL = 0

The solution to this equation could not be determined.

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