Question

How do you condense `2log_3 (x) + 5 log_3 (y) - 4log_3 (z)`?

Answer 1

`2log_3 x +5 log _3 y - 4 log _3 z` `=log((x^2y^5)/(z^4))`

Explanation:

`2log_3 x +5 log _3 y - 4 log _3 z`
`=log_3 x^2 + log_3 y^5-log_3 z^4`-> use properties`log_b(xy)=log_b x+log_by and log_b(x/y) =log_b x-log_b y`
`=log((x^2y^5)/(z^4))`