WisFaq!

Inverse functie met machtswortel

$
\eqalign{
& y = f\left( {60 \cdot \sqrt {f \cdot m} } \right)^x \cr
& x = ? \cr}
$

ruben
7-6-2010

Antwoord

$
\eqalign{
& y = f\left( {60 \cdot \sqrt {f \cdot m} } \right)^x \cr
& \ln \left( y \right) = \ln \left( {f\left( {60 \cdot \sqrt {f \cdot m} } \right)^x } \right) \cr
& \ln (y) = x \cdot \ln \left( {f\left( {60 \cdot \sqrt {f \cdot m} } \right)} \right) \cr
& x = \frac{{\ln (y)}}
{{\ln \left( {f\left( {60 \cdot \sqrt {f \cdot m} } \right)} \right)}}\,\,of\,\,ook\,\,x = \frac{{2 \cdot \ln \left( {\frac{y}
{f}} \right)}}
{{\ln \left( {3600 \cdot f \cdot m} \right)}} \cr}
$

WvR
7-6-2010