4ln(x+6)=9lnx

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Solution for 4ln(x+6)=9lnx equation: 


Simplifying
4ln(x + 6) = 9lnx

Reorder the terms:
4ln(6 + x) = 9lnx
(6 * 4ln + x * 4ln) = 9lnx
(24ln + 4lnx) = 9lnx

Solving
24ln + 4lnx = 9lnx

Solving for variable 'l'.

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

Add '-9lnx' to each side of the equation.
24ln + 4lnx + -9lnx = 9lnx + -9lnx

Combine like terms: 4lnx + -9lnx = -5lnx
24ln + -5lnx = 9lnx + -9lnx

Combine like terms: 9lnx + -9lnx = 0
24ln + -5lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(24 + -5x) = 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 '(24 + -5x)' equal to zero and attempt to solve:

Simplifying
24 + -5x = 0

Solving
24 + -5x = 0

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

Add '-24' to each side of the equation.
24 + -24 + -5x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 0 + -24
-5x = 0 + -24

Combine like terms: 0 + -24 = -24
-5x = -24

Add '5x' to each side of the equation.
-5x + 5x = -24 + 5x

Combine like terms: -5x + 5x = 0
0 = -24 + 5x

Simplifying
0 = -24 + 5x

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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