What is the answer to -2ln|3-1|+3ln|3-2|+ln|3^2+1|+C=2 ?

The answer to -2ln|3-1|+3ln|3-2|+ln|3^2+1|+C=2 is C=2+ln(2/5)

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-2ln|3-1|+3ln|3-2|+ln|3^2+1|+C=2

- 2 ln ∣ 3 - 1 ∣ + 3 ln ∣ 3 - 2 ∣ + ln 3^{2} + 1 + C = 2

C = 2 + ln (\frac{2}{5})

Decimal Notation

C = 1.08370 \dots

Solution steps

- 2 ln ∣ 3 - 1 ∣ + 3 ln ∣ 3 - 2 ∣ + ln 3^{2} + 1 + C = 2

Simplify

- 2 ln ∣ 3 - 1 ∣ + 3 ln ∣ 3 - 2 ∣ + ln 3^{2} + 1 + C : - 2 ln (2) + 3 ln (1) + ln (10) + C

- 2 ln (2) + 3 ln (1) + ln (10) + C = 2

Move

2 ln (2)

to the right side

3 ln (1) + ln (10) + C = 2 + 2 ln (2)

Move

3 ln (1)

to the right side

ln (10) + C = 2 + 2 ln (2)

Move

ln (10)

to the right side

C = 2 + ln (\frac{2}{5})

- 4 (- m + 3) = 6 m - 16

x, 6 x - 9 y = 0

n + 15 = - 10

\frac{1}{3} x = x - 10

x, 6 x + y = - 3

What is the answer to -2ln|3-1|+3ln|3-2|+ln|3^2+1|+C=2 ?
The answer to -2ln|3-1|+3ln|3-2|+ln|3^2+1|+C=2 is C=2+ln(2/5)
Solve for C: -2ln|3-1|+3ln|3-2|+ln|3^2+1|+C=2
The solution is C=2+ln(2/5)