Ln(24-5x)=2ln(x)

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Solution for Ln(24-5x)=2ln(x) equation: 


Simplifying
Ln(24 + -5x) = 2ln(x)
(24 * nL + -5x * nL) = 2ln(x)
(24nL + -5nxL) = 2ln(x)

Multiply ln * x
24nL + -5nxL = 2lnx

Solving
24nL + -5nxL = 2lnx

Solving for variable 'n'.

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

Add '-2lnx' to each side of the equation.
24nL + -2lnx + -5nxL = 2lnx + -2lnx

Reorder the terms:
-2lnx + 24nL + -5nxL = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-2lnx + 24nL + -5nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2lx + 24L + -5xL) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-2lx + 24L + -5xL)' equal to zero and attempt to solve:

Simplifying
-2lx + 24L + -5xL = 0

Reorder the terms:
24L + -2lx + -5xL = 0

Solving
24L + -2lx + -5xL = 0

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

Add '-24L' to each side of the equation.
24L + -2lx + -24L + -5xL = 0 + -24L

Reorder the terms:
24L + -24L + -2lx + -5xL = 0 + -24L

Combine like terms: 24L + -24L = 0
0 + -2lx + -5xL = 0 + -24L
-2lx + -5xL = 0 + -24L
Remove the zero:
-2lx + -5xL = -24L

Add '2lx' to each side of the equation.
-2lx + 2lx + -5xL = -24L + 2lx

Combine like terms: -2lx + 2lx = 0
0 + -5xL = -24L + 2lx
-5xL = -24L + 2lx

Add '5xL' to each side of the equation.
-5xL + 5xL = -24L + 2lx + 5xL

Combine like terms: -5xL + 5xL = 0
0 = -24L + 2lx + 5xL

Simplifying
0 = -24L + 2lx + 5xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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