ln(9x-20)=2lnx

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Solution for ln(9x-20)=2lnx equation: 


Simplifying
ln(9x + -20) = 2lnx

Reorder the terms:
ln(-20 + 9x) = 2lnx
(-20 * ln + 9x * ln) = 2lnx
(-20ln + 9lnx) = 2lnx

Solving
-20ln + 9lnx = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
-20ln + 9lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 9lnx + -2lnx = 7lnx
-20ln + 7lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-20ln + 7lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-20 + 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 '(-20 + 7x)' equal to zero and attempt to solve:

Simplifying
-20 + 7x = 0

Solving
-20 + 7x = 0

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

Add '20' to each side of the equation.
-20 + 20 + 7x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 0 + 20
7x = 0 + 20

Combine like terms: 0 + 20 = 20
7x = 20

Add '-7x' to each side of the equation.
7x + -7x = 20 + -7x

Combine like terms: 7x + -7x = 0
0 = 20 + -7x

Simplifying
0 = 20 + -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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