ln(x+9)+ln(x-2)=2inx

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


Simplifying
ln(x + 9) + ln(x + -2) = 2inx

Reorder the terms:
ln(9 + x) + ln(x + -2) = 2inx
(9 * ln + x * ln) + ln(x + -2) = 2inx
(9ln + lnx) + ln(x + -2) = 2inx

Reorder the terms:
9ln + lnx + ln(-2 + x) = 2inx
9ln + lnx + (-2 * ln + x * ln) = 2inx
9ln + lnx + (-2ln + lnx) = 2inx

Reorder the terms:
9ln + -2ln + lnx + lnx = 2inx

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

Combine like terms: lnx + lnx = 2lnx
7ln + 2lnx = 2inx

Solving
7ln + 2lnx = 2inx

Solving for variable 'l'.

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

Reorder the terms:
-2inx + 7ln + 2lnx = 2inx + -2inx

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2ix + 7l + 2lx) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(-2ix + 7l + 2lx)' equal to zero and attempt to solve:

Simplifying
-2ix + 7l + 2lx = 0

Solving
-2ix + 7l + 2lx = 0

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

Add '2ix' to each side of the equation.
-2ix + 7l + 2ix + 2lx = 0 + 2ix

Reorder the terms:
-2ix + 2ix + 7l + 2lx = 0 + 2ix

Combine like terms: -2ix + 2ix = 0
0 + 7l + 2lx = 0 + 2ix
7l + 2lx = 0 + 2ix
Remove the zero:
7l + 2lx = 2ix

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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