Ln(x+3)+Ln(2)=Ln(16)

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Solution for Ln(x+3)+Ln(2)=Ln(16) equation: 


Simplifying
Ln(x + 3) + Ln(2) = Ln(16)

Reorder the terms:
nL(3 + x) + Ln(2) = Ln(16)
(3 * nL + x * nL) + Ln(2) = Ln(16)
(3nL + nxL) + Ln(2) = Ln(16)

Reorder the terms for easier multiplication:
3nL + nxL + 2nL = Ln(16)

Reorder the terms:
3nL + 2nL + nxL = Ln(16)

Combine like terms: 3nL + 2nL = 5nL
5nL + nxL = Ln(16)

Reorder the terms for easier multiplication:
5nL + nxL = 16nL

Solving
5nL + nxL = 16nL

Solving for variable 'n'.

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

Add '-16nL' to each side of the equation.
5nL + -16nL + nxL = 16nL + -16nL

Combine like terms: 5nL + -16nL = -11nL
-11nL + nxL = 16nL + -16nL

Combine like terms: 16nL + -16nL = 0
-11nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'nL'.
nL(-11 + x) = 0


Subproblem 1
Set the factor 'nL' equal to zero and attempt to solve:

Simplifying
nL = 0

Solving
nL = 0

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

Simplifying
nL = 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 '(-11 + x)' equal to zero and attempt to solve:

Simplifying
-11 + x = 0

Solving
-11 + x = 0

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

Add '11' to each side of the equation.
-11 + 11 + x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + x = 0 + 11
x = 0 + 11

Combine like terms: 0 + 11 = 11
x = 11

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

Combine like terms: x + -1x = 0
0 = 11 + -1x

Simplifying
0 = 11 + -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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