Question

[HELP PLEASE] 12, 13, 14

the last answer on 14 is log2 z over 11

Answer 1

(12)

we are given

`log_2(9x)`

we can also write it as

`log_2(9x)=log_2(9*x)`

now, we can use property of log

`log_2(9x)=log_2(9)+log_2(x)`...........Answer

(13)

`log_3((x^4y^8)/(2) )`

we can use property of log

`log((a)/(b))=log(a)-log(b)`

`log_3((x^4y^8)/(2) )=log_3(x^4y^8)-log_3(2)`

we can use property of log

`log(a*b)=log(a)+log(b)`

`log_3((x^4y^8)/(2) )=log_3(x^4)+log_3(y^8)-log_3(2)`

`log(a^n)=n*log(a)`

`log_3((x^4y^8)/(2) )=4log_3(x)+8log_3(y)-log_3(2)`...........Answer

(14)

`log_2(11)-log_2(z)`

we can use property of log

`log((a)/(b))=log(a)-log(b)`

we get

`log_2(11)-log_2(z)=log_2((11)/(z))`.............Answer