2ln(x+1)=ln(9x)

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Solution for 2ln(x+1)=ln(9x) equation: 


Simplifying
2ln(x + 1) = ln(9x)

Reorder the terms:
2ln(1 + x) = ln(9x)
(1 * 2ln + x * 2ln) = ln(9x)
(2ln + 2lnx) = ln(9x)

Remove parenthesis around (9x)
2ln + 2lnx = ln * 9x

Reorder the terms for easier multiplication:
2ln + 2lnx = 9ln * x

Multiply ln * x
2ln + 2lnx = 9lnx

Solving
2ln + 2lnx = 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.
2ln + 2lnx + -9lnx = 9lnx + -9lnx

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + -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 '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Add '7x' to each side of the equation.
-7x + 7x = -2 + 7x

Combine like terms: -7x + 7x = 0
0 = -2 + 7x

Simplifying
0 = -2 + 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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