vereinfachen ln(1/(0.5))-sqrt(e^{-0.5^3)}

Lösung

vereinfachen

ln (\frac{1}{0.5}) - e^{- 0. 5^{3}}

- ln (0.5) - \frac{1}{e ^{0.125}}

Dezimale

- 0.24626 \dots

Schritte zur Lösung

ln (\frac{1}{0.5}) - e^{- 0. 5^{3}}

Wende die log Regel an:

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

ln (\frac{1}{0.5}) = ln (1) - ln (0.5)

= ln (1) - ln (0.5) - e^{- 0. 5^{3}}

Wende die log Regel an:

lo g_{a} (1) = 0

= 0 - ln (0.5) - e^{- 0. 5^{3}}

0 - ln (0.5) - e^{- 0. 5^{3}} = - ln (0.5) - e^{- 0. 5^{3}}

= - ln (0.5) - e^{- 0. 5^{3}}

e^{- 0. 5^{3}} = \frac{1}{e ^{0.125}}

= - ln (0.5) - \frac{1}{e ^{0.125}}

e x p an d lo g_{e} (\frac{x x + 1}{2 e ^{4}})

s im pl i f y ln ((1 + 2 x) (1 + 3 x))

s im pl i f y lo g_{10} (x) + 2 lo g_{10} (x + 1)

s im pl i f y ln (\frac{6}{2 \cdot π \cdot 0.2})

s im pl i f y \frac{lo g _{10} ( a c ) + 2 lo g _{10} ( b )}{4}