+118723 How can I get 'n' from 0.8^n=0.1
Certainly I can. :)
\(0.8^n=0.1\\ log(0.8^n)=log(0.1)\\ nlog(0.8)=log(10^{-1})\\ nlog(0.8)=-1*log(10)\\ nlog(0.8)=-1*1\\ nlog(0.8)=-1\\ n=-1 \div log(0.8)\\ -----\\ \mbox{or the short way}\\ 0.8^n=0.1\\ log(0.8^n)=log(0.1)\\ nlog(0.8)=log(0.1)\\ n=log(0.1)\div log(0.8) \)
log(0.1)/log(0.8) = 10.3188511585161722
+118723 How can I get 'n' from 0.8^n=0.1
Certainly I can. :)
\(0.8^n=0.1\\ log(0.8^n)=log(0.1)\\ nlog(0.8)=log(10^{-1})\\ nlog(0.8)=-1*log(10)\\ nlog(0.8)=-1*1\\ nlog(0.8)=-1\\ n=-1 \div log(0.8)\\ -----\\ \mbox{or the short way}\\ 0.8^n=0.1\\ log(0.8^n)=log(0.1)\\ nlog(0.8)=log(0.1)\\ n=log(0.1)\div log(0.8) \)
log(0.1)/log(0.8) = 10.3188511585161722
