What is simplify-5/4 ln((0.01)/(0.9)) ?

The solution to simplify-5/4 ln((0.01)/(0.9)) is -5/4 (ln(0.01)-ln(0.9))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-5/4 ln((0.01)/(0.9))

simplify

- \frac{5}{4} ln (\frac{0.01}{0.9})

- \frac{5}{4} (ln (0.01) - ln (0.9))

Decimal Notation

5.62476 \dots

Solution steps

- \frac{5}{4} ln (\frac{0.01}{0.9})

Apply log rule:

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

ln (\frac{0.01}{0.9}) = ln (0.01) - ln (0.9)

= - \frac{5}{4} (ln (0.01) - ln (0.9))

= - \frac{5}{4} (ln (0.01) - ln (0.9))

\frac{300}{2 \cdot π \cdot 1200} \cdot ln (\frac{4 + 2 \cdot 120 0 ^{2}}{25})

\frac{- 5 ln ( 5 ) - 4 ln ( 2 )}{7 ln ( 5 ) - ln ( 2 )}

38 \cdot ln (\frac{400}{600}) - 8.314 \cdot ln (\frac{1}{10})

ln (\frac{1}{5}) - e^{(- 5^{3})}

8 \cdot ln (\frac{8}{9.1161})

What is simplify-5/4 ln((0.01)/(0.9)) ?
The solution to simplify-5/4 ln((0.01)/(0.9)) is -5/4 (ln(0.01)-ln(0.9))