t-(3(ln(t)))-3.8631=0

Solution for t-(3(ln(t)))-3.8631=0 equation:

Simplifying
t + -1(3(ln(t))) + -3.8631 = 0

Multiply ln * t
t + -1(3(lnt)) + -3.8631 = 0

Remove parenthesis around (3lnt)
t + -1 * 3lnt + -3.8631 = 0

Multiply -1 * 3
t + -3lnt + -3.8631 = 0

Reorder the terms:
-3.8631 + -3lnt + t = 0

Solving
-3.8631 + -3lnt + t = 0

Solving for variable 'l'.

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

Add '3.8631' to each side of the equation.
-3.8631 + -3lnt + 3.8631 + t = 0 + 3.8631

Reorder the terms:
-3.8631 + 3.8631 + -3lnt + t = 0 + 3.8631

Combine like terms: -3.8631 + 3.8631 = 0.0000
0.0000 + -3lnt + t = 0 + 3.8631
-3lnt + t = 0 + 3.8631

Combine like terms: 0 + 3.8631 = 3.8631
-3lnt + t = 3.8631

Add '-1t' to each side of the equation.
-3lnt + t + -1t = 3.8631 + -1t

Combine like terms: t + -1t = 0
-3lnt + 0 = 3.8631 + -1t
-3lnt = 3.8631 + -1t

Divide each side by '-3nt'.
l = -1.2877n-1t-1 + 0.3333333333n-1

Simplifying
l = -1.2877n-1t-1 + 0.3333333333n-1

Reorder the terms:
l = 0.3333333333n-1 + -1.2877n-1t-1