Question

How do you simplify `\log _ { 3} \frac { 1} { 81\sqrt { 3} }`?

Answer 1

`-9/2`

Explanation:

`log_3(1/(81sqrt3))`

=`log_3(1/(3^4*3^(1/2)))`

=`log_3((3^0)/(3^(9/2)))`

=`log_3(3^(0-9/2))`

=`log_3(3^(-9/2))`

=`-9/2`