Question

Log (sqrt(xy))/z is equal to

a) 1/2 logx + 1/2 logy - logz
b) 1/2 logx + logy - logz
c) 1/2 (logx + logy - logz)
d) 1/2 log xy/ logz

Answer 1

A)
`(1)/(2)log(x)+(1)/(2)log( y)-log(z)`

Explanation:

`log(√(xy))/(z)`

`log√(xy)-log(z)`

`log(xy)^(1)/(2)-log(z)`

`(1)/(2)log(xy)-log(z)`

`(1)/(2)(log(x)+log(y))-log(z)`

`(1)/(2)log(x)+(1)/(2)log( y)-log(z)`

Therefore, A is correct