ln(x+1)=ln(11)+ln(20)

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Solution for ln(x+1)=ln(11)+ln(20) equation: 


Simplifying
ln(x + 1) = ln(11) + ln(20)

Reorder the terms:
ln(1 + x) = ln(11) + ln(20)
(1 * ln + x * ln) = ln(11) + ln(20)
(1ln + lnx) = ln(11) + ln(20)

Reorder the terms for easier multiplication:
1ln + lnx = 11ln + ln(20)

Reorder the terms for easier multiplication:
1ln + lnx = 11ln + 20ln

Combine like terms: 11ln + 20ln = 31ln
1ln + lnx = 31ln

Solving
1ln + lnx = 31ln

Solving for variable 'l'.

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

Add '-31ln' to each side of the equation.
1ln + -31ln + lnx = 31ln + -31ln

Combine like terms: 1ln + -31ln = -30ln
-30ln + lnx = 31ln + -31ln

Combine like terms: 31ln + -31ln = 0
-30ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-30 + x) = 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 '(-30 + x)' equal to zero and attempt to solve:

Simplifying
-30 + x = 0

Solving
-30 + x = 0

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

Add '30' to each side of the equation.
-30 + 30 + x = 0 + 30

Combine like terms: -30 + 30 = 0
0 + x = 0 + 30
x = 0 + 30

Combine like terms: 0 + 30 = 30
x = 30

Add '-1x' to each side of the equation.
x + -1x = 30 + -1x

Combine like terms: x + -1x = 0
0 = 30 + -1x

Simplifying
0 = 30 + -1x

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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