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Popular >

simplify ln|5|-ln|4|

Solution

simplify

ln ∣ 5 ∣ - ln ∣ 4 ∣

Solution

ln (\frac{5}{4})

+1

Decimal Notation

0.22314 \dots

Solution steps

ln ∣ 5 ∣ - ln ∣ 4 ∣

Apply log rule:

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

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

= ln (\frac{∣ 5 ∣}{∣ 4 ∣})

\frac{∣ 5 ∣}{∣ 4 ∣} = \frac{5}{4}

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

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Frequently Asked Questions (FAQ)

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