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Popular >

simplify 1/3 (ln|5|-ln|5+1|)

Solution

simplify

\frac{1}{3} (ln ∣ 5 ∣ - ln ∣ 5 + 1 ∣)

Solution

\frac{1}{3} ln (\frac{5}{6})

+1

Decimal Notation

- 0.06077 \dots

Solution steps

\frac{1}{3} (ln ∣ 5 ∣ - ln ∣ 5 + 1 ∣)

Apply log rule:

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

ln ∣ 5 ∣ - ln ∣ 5 + 1 ∣ = ln (\frac{∣ 5 ∣}{∣ 5 + 1 ∣})

= \frac{1}{3} ln (\frac{∣ 5 ∣}{∣ 5 + 1 ∣})

\frac{∣ 5 ∣}{∣ 5 + 1 ∣} = \frac{5}{6}

= \frac{1}{3} ln (\frac{5}{6})

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Frequently Asked Questions (FAQ)

What is 1/3 (ln|5|-ln|5+1|) ?
The solution to 1/3 (ln|5|-ln|5+1|) is 1/3 ln(5/6)