3ln(4x)-5ln(x^3)=

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Solution for 3ln(4x)-5ln(x^3)= equation: 


Simplifying
3ln(4x) + -5ln(x3) = 0

Remove parenthesis around (4x)
3ln * 4x + -5ln(x3) = 0

Reorder the terms for easier multiplication:
3 * 4ln * x + -5ln(x3) = 0

Multiply 3 * 4
12ln * x + -5ln(x3) = 0

Multiply ln * x
12lnx + -5ln(x3) = 0

Multiply ln * x3
12lnx + -5lnx3 = 0

Solving
12lnx + -5lnx3 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(12 + -5x2) = 0


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

Simplifying
lnx = 0

Solving
lnx = 0

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

Simplifying
lnx = 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 '(12 + -5x2)' equal to zero and attempt to solve:

Simplifying
12 + -5x2 = 0

Solving
12 + -5x2 = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5x2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5x2 = 0 + -12
-5x2 = 0 + -12

Combine like terms: 0 + -12 = -12
-5x2 = -12

Add '5x2' to each side of the equation.
-5x2 + 5x2 = -12 + 5x2

Combine like terms: -5x2 + 5x2 = 0
0 = -12 + 5x2

Simplifying
0 = -12 + 5x2

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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