Warum scheitert der Rechner an: 1469/963=(X/291.15)^3.5 ?
\(\frac{1469}{963}=(\frac{x}{291.15})^{3.5}\)
\(ln\frac{1469}{963}=ln(\frac{x}{291.15})^{3.5}\)
\(ln\frac{1469}{963}=(lnx-ln291.15)\times 3.5\)
\(ln \sqrt[3.5]{\frac{1469}{963}}=lnx-ln291.15\)
\(ln \sqrt[3.5]{\frac{1469}{963}}+ln291.15=lnx\)
\(lnx=5.79449110239 \)
\(\large x=e^{5.79449110239} \)
\(x=328.484976221\)
Probe:
\(\frac{1469}{963}=(\frac{x}{291.15})^{3.5}\)
\(\frac{1469}{963}=(\frac{328.484976221}{291.15})^{3.5}\)
\( 1.52544132918=1.12823278798^{3.5}\)
\(1.52544132918=1.52544132918\)
Der Rechner schafft das. Versuche es noch einmal!
asinus:- ) 
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