Hallo Anonymous,
$${\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)}^{{\mathtt{x}}} = \left({\frac{{\mathtt{27}}}{{\mathtt{8}}}}\right)$$
x*log(2/3) = log(27/8)
$${\mathtt{x}} = {\frac{{log}_{10}\left({\frac{{\mathtt{27}}}{{\mathtt{8}}}}\right)}{{log}_{10}\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)}}$$ => $${\frac{{log}_{10}\left({\frac{{\mathtt{27}}}{{\mathtt{8}}}}\right)}{{log}_{10}\left({\frac{{\mathtt{2}}}{{\mathtt{3}}}}\right)}} = -{\mathtt{2.999\: \!999\: \!999\: \!999\: \!999\: \!4}}$$ = -3
oder so: $${\frac{\left({\mathtt{log27}}{\mathtt{\,-\,}}{\mathtt{log8}}\right)}{\left({\mathtt{log2}}{\mathtt{\,-\,}}{\mathtt{log3}}\right)}} = -{\mathtt{3.000\: \!000\: \!000\: \!000\: \!001}}$$
Gruß radix 
!
+14538 
