9ln(x+8)-2ln(x)=0

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Solution for 9ln(x+8)-2ln(x)=0 equation: 


Simplifying
9ln(x + 8) + -2ln(x) = 0

Reorder the terms:
9ln(8 + x) + -2ln(x) = 0
(8 * 9ln + x * 9ln) + -2ln(x) = 0
(72ln + 9lnx) + -2ln(x) = 0

Multiply ln * x
72ln + 9lnx + -2lnx = 0

Combine like terms: 9lnx + -2lnx = 7lnx
72ln + 7lnx = 0

Solving
72ln + 7lnx = 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), 'ln'.
ln(72 + 7x) = 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 '(72 + 7x)' equal to zero and attempt to solve:

Simplifying
72 + 7x = 0

Solving
72 + 7x = 0

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

Add '-72' to each side of the equation.
72 + -72 + 7x = 0 + -72

Combine like terms: 72 + -72 = 0
0 + 7x = 0 + -72
7x = 0 + -72

Combine like terms: 0 + -72 = -72
7x = -72

Add '-7x' to each side of the equation.
7x + -7x = -72 + -7x

Combine like terms: 7x + -7x = 0
0 = -72 + -7x

Simplifying
0 = -72 + -7x

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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