Lny=ln(3+t)

Solution for Lny=ln(3+t) equation:

Simplifying
Lny = ln(3 + t)
nyL = (3 * ln + t * ln)
nyL = (3ln + lnt)

Solving
nyL = 3ln + lnt

Solving for variable 'n'.

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

Add '-3ln' to each side of the equation.
-3ln + nyL = 3ln + -3ln + lnt

Combine like terms: 3ln + -3ln = 0
-3ln + nyL = 0 + lnt
-3ln + nyL = lnt

Add '-1lnt' to each side of the equation.
-3ln + -1lnt + nyL = lnt + -1lnt

Combine like terms: lnt + -1lnt = 0
-3ln + -1lnt + nyL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3l + -1lt + yL) = 0

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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0
Subproblem 2
Set the factor '(-3l + -1lt + yL)' equal to zero and attempt to solve:

Simplifying
-3l + -1lt + yL = 0

Solving
-3l + -1lt + yL = 0

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

Add '3l' to each side of the equation.
-3l + -1lt + 3l + yL = 0 + 3l

Reorder the terms:
-3l + 3l + -1lt + yL = 0 + 3l

Combine like terms: -3l + 3l = 0
0 + -1lt + yL = 0 + 3l
-1lt + yL = 0 + 3l
Remove the zero:
-1lt + yL = 3l

Add 'lt' to each side of the equation.
-1lt + lt + yL = 3l + lt

Combine like terms: -1lt + lt = 0
0 + yL = 3l + lt
yL = 3l + lt

Add '-1yL' to each side of the equation.
yL + -1yL = 3l + lt + -1yL

Combine like terms: yL + -1yL = 0
0 = 3l + lt + -1yL

Simplifying
0 = 3l + lt + -1yL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}