vereinfachen 0.462-(0.0592)/2 log_{10}((0.2)/(0.01))

Lösung

vereinfachen

0.462 - \frac{0.0592}{2} lo g_{10} (\frac{0.2}{0.01})

\frac{231}{500} - \frac{37}{1250} lo g_{10} (20)

Dezimale

0.42348 \dots

Schritte zur Lösung

0.462 - \frac{0.0592}{2} lo g_{10} (\frac{0.2}{0.01})

0.462 = \frac{231}{500}

= \frac{231}{500} - \frac{0.0592}{2} lo g_{10} (\frac{0.2}{0.01})

\frac{0.0592}{2} = \frac{592}{20000}

= \frac{231}{500} - \frac{592}{20000} lo g_{10} (\frac{0.2}{0.01})

\frac{592}{20000} lo g_{10} (\frac{0.2}{0.01}) = \frac{37}{1250} lo g_{10} (20)

= \frac{231}{500} - \frac{37}{1250} lo g_{10} (20)

s im pl i f y \frac{1}{2} (0.375983) + \frac{1}{4} (ln (1.25) + ln (1.75))

s im pl i f y ln (\frac{547.85}{273.85}) \cdot 8

s im pl i f y ln (27500) - ln (22617)

s im pl i f y ln (\frac{1421}{1431})

s im pl i f y lo g_{9} (x e^{x})