(lnt-ln(t-3))-1=t

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Solution for (lnt-ln(t-3))-1=t equation:


Simplifying
(lnt + -1ln(t + -3)) + -1 = t

Reorder the terms:
(lnt + -1ln(-3 + t)) + -1 = t
(lnt + (-3 * -1ln + t * -1ln)) + -1 = t
(lnt + (3ln + -1lnt)) + -1 = t

Reorder the terms:
(3ln + lnt + -1lnt) + -1 = t

Combine like terms: lnt + -1lnt = 0
(3ln + 0) + -1 = t
(3ln) + -1 = t
(3ln) + -1 = t

Reorder the terms:
-1 + (3ln) = t

Solving
-1 + (3ln) = t

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + 1 + (3ln) = 1 + t

Combine like terms: -1 + 1 = 0
0 + (3ln) = 1 + t
(3ln) = 1 + t

Divide each side by '(3n)'.
l = 0.3333333333n-1 + 0.3333333333n-1t

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

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