Question

i thought i was doing this one right but the answer i got wasn't one of my choices. so im asking for help.

Solve: 3^(x)=(1)/(81)

Answer 1

\[3^x = \frac{1}{81} \]
\[x = \log_3 81^{-1}\]
\[x = \log_3 (3^{4})^{-1}\]
\[x = \log_3 3^{-4}\]
\[x = -4 \log_3 3\]Can you do from here?

Answer 2

Or you can do

\(3^x = 3^{-4}\)

and conclude that x = -4

Answer 3

@saifoo.khan

Answer 4

Oh right. that's a more shortcut.

Answer 5

thanks both of you :)