What is 1/(-0.2)ln((1001/76)/(90))-9 ?

The solution to 1/(-0.2)ln((1001/76)/(90))-9 is -1/(0.2)(ln(1001/76)-ln(90))-9

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simplify 1/(-0.2)ln((1001/76)/(90))-9

simplify

\frac{1}{- 0.2} ln (\frac{\frac{1001}{76}}{90}) - 9

- \frac{1}{0.2} (ln (\frac{1001}{76}) - ln (90)) - 9

Decimal Notation

0.60894 \dots

Solution steps

\frac{1}{- 0.2} ln (\frac{\frac{1001}{76}}{90}) - 9

Apply log rule:

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

ln (\frac{\frac{1001}{76}}{90}) = ln (\frac{1001}{76}) - ln (90)

= \frac{1}{- 0.2} (ln (\frac{1001}{76}) - ln (90)) - 9

Apply the fraction rule:

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

= - \frac{1}{0.2} (ln (\frac{1001}{76}) - ln (90)) - 9

5 lo g_{2} (c) + \frac{1}{3} lo g_{2} (d)

ln (\frac{r ^{2} s ^{11}}{t ^{14}})

ln (a h^{m})

- \frac{1}{10} lo g_{2} (\frac{1}{10}) - \frac{9}{10} lo g_{2} (\frac{9}{10})

3 lo g_{b} (y) - \frac{19}{4} lo g_{b} (x)

What is 1/(-0.2)ln((1001/76)/(90))-9 ?
The solution to 1/(-0.2)ln((1001/76)/(90))-9 is -1/(0.2)(ln(1001/76)-ln(90))-9