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Popular >

simplify ln|100-3|-ln|100-2|

Solution

simplify

ln ∣ 100 - 3 ∣ - ln ∣ 100 - 2 ∣

Solution

ln (\frac{97}{98})

+1

Decimal Notation

- 0.01025 \dots

Solution steps

ln ∣ 100 - 3 ∣ - ln ∣ 100 - 2 ∣

Apply log rule:

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

ln ∣ 100 - 3 ∣ - ln ∣ 100 - 2 ∣ = ln (\frac{∣ 100 - 3 ∣}{∣ 100 - 2 ∣})

= ln (\frac{∣ 100 - 3 ∣}{∣ 100 - 2 ∣})

\frac{∣ 100 - 3 ∣}{∣ 100 - 2 ∣} = \frac{97}{98}

= ln (\frac{97}{98})

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Frequently Asked Questions (FAQ)

What is ln|100-3|-ln|100-2| ?
The solution to ln|100-3|-ln|100-2| is ln(97/98)