ln(3x-8)+ln(4)=2lnx

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Solution for ln(3x-8)+ln(4)=2lnx equation: 


Simplifying
ln(3x + -8) + ln(4) = 2lnx

Reorder the terms:
ln(-8 + 3x) + ln(4) = 2lnx
(-8 * ln + 3x * ln) + ln(4) = 2lnx
(-8ln + 3lnx) + ln(4) = 2lnx

Reorder the terms for easier multiplication:
-8ln + 3lnx + 4ln = 2lnx

Reorder the terms:
-8ln + 4ln + 3lnx = 2lnx

Combine like terms: -8ln + 4ln = -4ln
-4ln + 3lnx = 2lnx

Solving
-4ln + 3lnx = 2lnx

Solving for variable 'l'.

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

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

Combine like terms: 3lnx + -2lnx = 1lnx
-4ln + 1lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-4ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4 + x) = 0


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

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -1x

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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