3ln(x)=ln(125)

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Solution for 3ln(x)=ln(125) equation: 


Simplifying
3ln(x) = ln(125)

Multiply ln * x
3lnx = ln(125)

Reorder the terms for easier multiplication:
3lnx = 125ln

Solving
3lnx = 125ln

Solving for variable 'l'.

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

Add '-125ln' to each side of the equation.
-125ln + 3lnx = 125ln + -125ln

Combine like terms: 125ln + -125ln = 0
-125ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-125 + 3x) = 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 '(-125 + 3x)' equal to zero and attempt to solve:

Simplifying
-125 + 3x = 0

Solving
-125 + 3x = 0

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

Add '125' to each side of the equation.
-125 + 125 + 3x = 0 + 125

Combine like terms: -125 + 125 = 0
0 + 3x = 0 + 125
3x = 0 + 125

Combine like terms: 0 + 125 = 125
3x = 125

Add '-3x' to each side of the equation.
3x + -3x = 125 + -3x

Combine like terms: 3x + -3x = 0
0 = 125 + -3x

Simplifying
0 = 125 + -3x

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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