What is simplify-100(ln|10|-ln|11|)-0.2321 ?

The solution to simplify-100(ln|10|-ln|11|)-0.2321 is -100ln(10/11)-0.2321

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simplify-100(ln|10|-ln|11|)-0.2321

simplify

- 100 (ln ∣ 10 ∣ - ln ∣ 11 ∣) - 0.2321

- 100 ln (\frac{10}{11}) - 0.2321

Decimal Notation

9.29891 \dots

Solution steps

- 100 (ln ∣ 10 ∣ - ln ∣ 11 ∣) - 0.2321

Apply log rule:

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

ln ∣ 10 ∣ - ln ∣ 11 ∣ = ln (\frac{∣ 10 ∣}{∣ 11 ∣})

= - 100 ln (\frac{∣ 10 ∣}{∣ 11 ∣}) - 0.2321

\frac{∣ 10 ∣}{∣ 11 ∣} = \frac{10}{11}

= - 100 ln (\frac{10}{11}) - 0.2321

lo g_{a} (\frac{x ^{5}}{y z ^{3}})

lo g_{9} (1 0^{5} \cdot 3)

ln (∣ 1 + 2 ∣^{1.75} ∣ 1 - 3 ∣^{0.25} ∣ 1 ∣^{2})

ln (\frac{1}{x} \frac{d y}{e x} e^{x^{2} - 2 y})

ln (x^{5} e^{y - 2})

What is simplify-100(ln|10|-ln|11|)-0.2321 ?
The solution to simplify-100(ln|10|-ln|11|)-0.2321 is -100ln(10/11)-0.2321