4ln(x)=ln(81)

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Solution for 4ln(x)=ln(81) equation: 


Simplifying
4ln(x) = ln(81)

Multiply ln * x
4lnx = ln(81)

Reorder the terms for easier multiplication:
4lnx = 81ln

Solving
4lnx = 81ln

Solving for variable 'l'.

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

Add '-81ln' to each side of the equation.
-81ln + 4lnx = 81ln + -81ln

Combine like terms: 81ln + -81ln = 0
-81ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-81 + 4x) = 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 '(-81 + 4x)' equal to zero and attempt to solve:

Simplifying
-81 + 4x = 0

Solving
-81 + 4x = 0

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

Add '81' to each side of the equation.
-81 + 81 + 4x = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 4x = 0 + 81
4x = 0 + 81

Combine like terms: 0 + 81 = 81
4x = 81

Add '-4x' to each side of the equation.
4x + -4x = 81 + -4x

Combine like terms: 4x + -4x = 0
0 = 81 + -4x

Simplifying
0 = 81 + -4x

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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