vereinfachen (ln(0.15)-ln(0.25))/(-6.7*10^{-4)}

Lösung

vereinfachen

\frac{ln ( 0.15 ) - ln ( 0.25 )}{- 6.7 \cdot 1 0 ^{- 4}}

- \frac{10000 ln ( 0.6 )}{6.7}

Dezimale

762.42630 \dots

Schritte zur Lösung

\frac{ln ( 0.15 ) - ln ( 0.25 )}{- 6.7 \cdot 1 0 ^{- 4}}

Wende die log Regel an:

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

ln (0.15) - ln (0.25) = ln (\frac{0.15}{0.25})

= \frac{ln ( \frac{0.15}{0.25} )}{- 1 0 ^{- 4} \cdot 6.7}

Teile die Zahlen:

\frac{0.15}{0.25} = 0.6

= \frac{ln ( 0.6 )}{- 6.7 \cdot 1 0 ^{- 4}}

Wende Bruchregel an:

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

= - \frac{ln ( 0.6 )}{6.7 \cdot 1 0 ^{- 4}}

1 0^{- 4} = \frac{1}{10000}

= - \frac{ln ( 0.6 )}{6.7 \cdot \frac{1}{10000}}

Multipliziere

6.7 \cdot \frac{1}{10000} : \frac{6.7}{10000}

= - \frac{ln ( 0.6 )}{\frac{6.7}{10000}}

Wende Bruchregel an:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= - \frac{10000 ln ( 0.6 )}{6.7}

s im pl i f y 3 lo g_{m} (z) - \frac{1}{5} lo g_{m} (w) + 6 lo g_{m} (x)

e x p an d x^{l o g_{x} ((x + 3)^{2}) = 16}

s im pl i f y ln (a) + 2 ln (b)

f a c t or ln (x) - ln (1 - x)

j o in \frac{ln ( \frac{8}{5} )}{2 ln ( 5 )}