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)

$log_3(\frac{x^4y^8}{2} )$

we can use property of log

$log(\frac{a}{b})=log(a)-log(b)$

$log_3(\frac{x^4y^8}{2} )=log_3(x^4y^8)-log_3(2)$

we can use property of log

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

$log_3(\frac{x^4y^8}{2} )=log_3(x^4)+log_3(y^8)-log_3(2)$

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

$log_3(\frac{x^4y^8}{2} )=4log_3(x)+8log_3(y)-log_3(2)$...........Answer

(14)

$log_2(11)-log_2(z)$

we can use property of log

$log(\frac{a}{b})=log(a)-log(b)$

we get

$log_2(11)-log_2(z)=log_2(\frac{11}{z})$.............Answer