ln(3x-2)=ln(40)

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Solution for ln(3x-2)=ln(40) equation: 


Simplifying
ln(3x + -2) = ln(40)

Reorder the terms:
ln(-2 + 3x) = ln(40)
(-2 * ln + 3x * ln) = ln(40)
(-2ln + 3lnx) = ln(40)

Reorder the terms for easier multiplication:
-2ln + 3lnx = 40ln

Solving
-2ln + 3lnx = 40ln

Solving for variable 'l'.

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

Add '-40ln' to each side of the equation.
-2ln + -40ln + 3lnx = 40ln + -40ln

Combine like terms: -2ln + -40ln = -42ln
-42ln + 3lnx = 40ln + -40ln

Combine like terms: 40ln + -40ln = 0
-42ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-14 + x) = 0

Ignore the factor 3.

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 '(-14 + x)' equal to zero and attempt to solve:

Simplifying
-14 + x = 0

Solving
-14 + x = 0

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

Add '14' to each side of the equation.
-14 + 14 + x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + x = 0 + 14
x = 0 + 14

Combine like terms: 0 + 14 = 14
x = 14

Add '-1x' to each side of the equation.
x + -1x = 14 + -1x

Combine like terms: x + -1x = 0
0 = 14 + -1x

Simplifying
0 = 14 + -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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