What is 1/(-0.06437)ln(1/20) ?

The solution to 1/(-0.06437)ln(1/20) is 1/(0.06437)ln(20)

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simplify 1/(-0.06437)ln(1/20)

simplify

\frac{1}{- 0.06437} ln (\frac{1}{20})

\frac{1}{0.06437} ln (20)

Decimal Notation

46.53926 \dots

Solution steps

\frac{1}{- 0.06437} ln (\frac{1}{20})

Apply log rule:

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

ln (\frac{1}{20}) = ln (1) - ln (20)

= \frac{1}{- 0.06437} (ln (1) - ln (20))

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{1}{0.06437} (ln (1) - ln (20))

Apply log rule:

lo g_{a} (1) = 0

= - \frac{1}{0.06437} (- ln (20) + 0)

0 - ln (20) = - ln (20)

= - \frac{1}{0.06437} (- ln (20))

Apply rule

- (- a) = a

= \frac{1}{0.06437} ln (20)

ln (\frac{100}{0.2})

ln ((n + 1)^{2}) - ln (n^{2})

ln (\frac{0.55}{1.3})

2 ln (\frac{\frac{1}{2} - 1}{\frac{1}{2} + 1})

- lo g_{10} (3.62 \cdot 1 0^{- 2})

What is 1/(-0.06437)ln(1/20) ?
The solution to 1/(-0.06437)ln(1/20) is 1/(0.06437)ln(20)