ln(t+8)-ln(8)=t*ln(1.04)

Solution for ln(t+8)-ln(8)=t*ln(1.04) equation:

Simplifying
ln(t + 8) + -1ln(8) = t * ln(1.04)

Reorder the terms:
ln(8 + t) + -1ln(8) = t * ln(1.04)
(8 * ln + t * ln) + -1ln(8) = t * ln(1.04)
(8ln + lnt) + -1ln(8) = t * ln(1.04)

Reorder the terms for easier multiplication:
8ln + lnt + -1 * 8ln = t * ln(1.04)

Multiply -1 * 8
8ln + lnt + -8ln = t * ln(1.04)

Reorder the terms:
8ln + -8ln + lnt = t * ln(1.04)

Combine like terms: 8ln + -8ln = 0
0 + lnt = t * ln(1.04)
lnt = t * ln(1.04)

Reorder the terms for easier multiplication:
lnt = 1.04t * ln

Multiply t * ln
lnt = 1.04lnt

Solving
lnt = 1.04lnt

Solving for variable 'l'.

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

Add '-1.04lnt' to each side of the equation.
lnt + -1.04lnt = 1.04lnt + -1.04lnt

Combine like terms: lnt + -1.04lnt = -0.04lnt
-0.04lnt = 1.04lnt + -1.04lnt

Combine like terms: 1.04lnt + -1.04lnt = 0.00
-0.04lnt = 0.00

Divide each side by '-0.04'.
lnt = 0

Simplifying
lnt = 0

The solution to this equation could not be determined.