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

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


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

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

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

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

Reorder the terms for easier multiplication:
5ln + lnx = 20ln

Solving
5ln + lnx = 20ln

Solving for variable 'l'.

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

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

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

Combine like terms: 20ln + -20ln = 0
-15ln + lnx = 0

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

Simplifying
-15 + x = 0

Solving
-15 + x = 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 + x = 0 + 15

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

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

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

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

Simplifying
0 = 15 + -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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