What is 1/(-0.03794)ln(1/76) ?

The solution to 1/(-0.03794)ln(1/76) is 1/(0.03794)ln(76)

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simplify 1/(-0.03794)ln(1/76)

simplify

\frac{1}{- 0.03794} ln (\frac{1}{76})

\frac{1}{0.03794} ln (76)

Decimal Notation

114.14689 \dots

Solution steps

\frac{1}{- 0.03794} ln (\frac{1}{76})

Apply log rule:

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

ln (\frac{1}{76}) = ln (1) - ln (76)

= \frac{1}{- 0.03794} (ln (1) - ln (76))

Apply the fraction rule:

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

= - \frac{1}{0.03794} (ln (1) - ln (76))

Apply log rule:

lo g_{a} (1) = 0

= - \frac{1}{0.03794} (- ln (76) + 0)

0 - ln (76) = - ln (76)

= - \frac{1}{0.03794} (- ln (76))

Apply rule

- (- a) = a

= \frac{1}{0.03794} ln (76)

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What is 1/(-0.03794)ln(1/76) ?
The solution to 1/(-0.03794)ln(1/76) is 1/(0.03794)ln(76)