9ln(x+9)-7ln(x)=0

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Solution for 9ln(x+9)-7ln(x)=0 equation: 


Simplifying
9ln(x + 9) + -7ln(x) = 0

Reorder the terms:
9ln(9 + x) + -7ln(x) = 0
(9 * 9ln + x * 9ln) + -7ln(x) = 0
(81ln + 9lnx) + -7ln(x) = 0

Multiply ln * x
81ln + 9lnx + -7lnx = 0

Combine like terms: 9lnx + -7lnx = 2lnx
81ln + 2lnx = 0

Solving
81ln + 2lnx = 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(81 + 2x) = 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 + 2x)' equal to zero and attempt to solve:

Simplifying
81 + 2x = 0

Solving
81 + 2x = 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 + 2x = 0 + -81

Combine like terms: 81 + -81 = 0
0 + 2x = 0 + -81
2x = 0 + -81

Combine like terms: 0 + -81 = -81
2x = -81

Add '-2x' to each side of the equation.
2x + -2x = -81 + -2x

Combine like terms: 2x + -2x = 0
0 = -81 + -2x

Simplifying
0 = -81 + -2x

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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