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Popular >

simplify 5(ln|1-5|-ln|1-4|)+1

Solution

simplify

5 (ln ∣ 1 - 5 ∣ - ln ∣ 1 - 4 ∣) + 1

Solution

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

+1

Decimal

2.43841 \dots

Solution steps

5 (ln ∣ 1 - 5 ∣ - ln ∣ 1 - 4 ∣) + 1

Apply log rule:

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

ln ∣ 1 - 5 ∣ - ln ∣ 1 - 4 ∣ = ln (\frac{∣ 1 - 5 ∣}{∣ 1 - 4 ∣})

= 5 ln (\frac{∣ 1 - 5 ∣}{∣ 1 - 4 ∣}) + 1

\frac{∣ 1 - 5 ∣}{∣ 1 - 4 ∣} = \frac{4}{3}

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

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Frequently Asked Questions (FAQ)

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