ln(t+8)+ln(t-1)-1=0

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Solution for ln(t+8)+ln(t-1)-1=0 equation:


Simplifying
ln(t + 8) + ln(t + -1) + -1 = 0

Reorder the terms:
ln(8 + t) + ln(t + -1) + -1 = 0
(8 * ln + t * ln) + ln(t + -1) + -1 = 0
(8ln + lnt) + ln(t + -1) + -1 = 0

Reorder the terms:
8ln + lnt + ln(-1 + t) + -1 = 0
8ln + lnt + (-1 * ln + t * ln) + -1 = 0
8ln + lnt + (-1ln + lnt) + -1 = 0

Reorder the terms:
-1 + 8ln + -1ln + lnt + lnt = 0

Combine like terms: 8ln + -1ln = 7ln
-1 + 7ln + lnt + lnt = 0

Combine like terms: lnt + lnt = 2lnt
-1 + 7ln + 2lnt = 0

Solving
-1 + 7ln + 2lnt = 0

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 + 7ln + 1 + 2lnt = 0 + 1

Reorder the terms:
-1 + 1 + 7ln + 2lnt = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7ln + 2lnt = 0 + 1
7ln + 2lnt = 0 + 1

Combine like terms: 0 + 1 = 1
7ln + 2lnt = 1

Reorder the terms:
-1 + 7ln + 2lnt = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 7ln + 2lnt = 0

The solution to this equation could not be determined.

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