ln(x+1)=ln(11x)

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Solution for ln(x+1)=ln(11x) equation: 


Simplifying
ln(x + 1) = ln(11x)

Reorder the terms:
ln(1 + x) = ln(11x)
(1 * ln + x * ln) = ln(11x)
(1ln + lnx) = ln(11x)

Remove parenthesis around (11x)
1ln + lnx = ln * 11x

Reorder the terms for easier multiplication:
1ln + lnx = 11ln * x

Multiply ln * x
1ln + lnx = 11lnx

Solving
1ln + lnx = 11lnx

Solving for variable 'l'.

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

Add '-11lnx' to each side of the equation.
1ln + lnx + -11lnx = 11lnx + -11lnx

Combine like terms: lnx + -11lnx = -10lnx
1ln + -10lnx = 11lnx + -11lnx

Combine like terms: 11lnx + -11lnx = 0
1ln + -10lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(1 + -10x) = 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 '(1 + -10x)' equal to zero and attempt to solve:

Simplifying
1 + -10x = 0

Solving
1 + -10x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -10x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10x = 0 + -1
-10x = 0 + -1

Combine like terms: 0 + -1 = -1
-10x = -1

Add '10x' to each side of the equation.
-10x + 10x = -1 + 10x

Combine like terms: -10x + 10x = 0
0 = -1 + 10x

Simplifying
0 = -1 + 10x

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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