Question

6^(6n) is less than equal to 1/81

Answer 1

\[6^{6n} \le 3^{-4}\]
\[\ln6^{6n}=\ln3^{-4}\]
\[6n*\ln6=-4*\ln3\]
\[n=\frac{-4\ln3}{6\ln6}=\frac{-2\ln3}{3\ln6}\]

Answer 2

oops forgot my inequality

Answer 3

\[6^{6n}\le1/81\]

Answer 4

\[n \le \frac{-2\ln3}{3\ln6}\]

Answer 5

thats not an option i have

Answer 6

you can use alnb=lnb^a property

Answer 7

what?...

Answer 8

\[n \le \frac{\ln3^{-2}}{\ln6^3}\]
\[n \le \frac{\ln(\frac{1}{9})}{\ln216}\]
\[n \le \frac{\ln1-\ln9}{\ln216}\]
\[n \le \frac{-\ln9}{\ln216}\]