Question

How do you condense `3 log_y3 + log_y 2`?

Answer 1

`log_y54`

Explanation:

Using the `color(blue)"laws of logarithms"`

`•logx+logy=log(xy)...............(1)`

`•logx^nhArrnlogx................(2)`

using (2) : `3log_y3=log_y3^3=log_y27`

using (1) : `log_y27+log_y2=log_y(27xx2)=log_y54`

`rArr3log_y3+log_y2=log_y54`