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Popular >

simplify 1/3 (ln|3+1|-ln|3+2|)

Solution

simplify

\frac{1}{3} (ln ∣ 3 + 1 ∣ - ln ∣ 3 + 2 ∣)

Solution

\frac{1}{3} ln (\frac{4}{5})

+1

Decimal Notation

- 0.07438 \dots

Solution steps

\frac{1}{3} (ln ∣ 3 + 1 ∣ - ln ∣ 3 + 2 ∣)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln ∣ 3 + 1 ∣ - ln ∣ 3 + 2 ∣ = ln (\frac{∣ 3 + 1 ∣}{∣ 3 + 2 ∣})

= \frac{1}{3} ln (\frac{∣ 3 + 1 ∣}{∣ 3 + 2 ∣})

\frac{∣ 3 + 1 ∣}{∣ 3 + 2 ∣} = \frac{4}{5}

= \frac{1}{3} ln (\frac{4}{5})

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Frequently Asked Questions (FAQ)

What is 1/3 (ln|3+1|-ln|3+2|) ?
The solution to 1/3 (ln|3+1|-ln|3+2|) is 1/3 ln(4/5)