ln(20)=ln(2)+ln(x+3)

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Solution for ln(20)=ln(2)+ln(x+3) equation: 


Simplifying
ln(20) = ln(2) + ln(x + 3)

Reorder the terms for easier multiplication:
20ln = ln(2) + ln(x + 3)

Reorder the terms for easier multiplication:
20ln = 2ln + ln(x + 3)

Reorder the terms:
20ln = 2ln + ln(3 + x)
20ln = 2ln + (3 * ln + x * ln)
20ln = 2ln + (3ln + lnx)

Combine like terms: 2ln + 3ln = 5ln
20ln = 5ln + lnx

Solving
20ln = 5ln + lnx

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
20ln + -5ln = 5ln + -5ln + lnx

Combine like terms: 20ln + -5ln = 15ln
15ln = 5ln + -5ln + lnx

Combine like terms: 5ln + -5ln = 0
15ln = 0 + lnx
15ln = lnx

Add '-1lnx' to each side of the equation.
15ln + -1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
15ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(15 + -1x) = 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 '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Add 'x' to each side of the equation.
-1x + x = -15 + x

Combine like terms: -1x + x = 0
0 = -15 + x

Simplifying
0 = -15 + x

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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