Question

Please I need help on this

Answer 1

Qno:8 option "C" is correct.

Qno:9 option "B" is coorect

Explanation:

For Qno:8

We have given

`log3(m^4n^2/p^5)`

Since according to the logarithm rule that

㏒(ab)=㏒(a)+㏑(b),where a,b are any positive numbers and any base you can choose but positive

So,

`log3(m^4n^2/p^5)=log3(m^4n^2)-log3(p^5)\\also we know that\\log(ab)=log(a)+log(b) log(a^x)=x*log(a)\\This implies that\\4log3(m)+2log3(n)-5log3(p)\\so this is our answer.\\`where log3 shows that logarithm to the base 3.

For Qno:9

We have given that
`8logx+9logy-3logz\\so by using logarithm law\\that log(ab)=log(a)+log(b)\\also\\log(a/b)=log(a)-log(b)\\\\log(a^x)=xlog(a)so ,\\8logx+9logy-3logz = log(x^8)+log(y^9)-log(z^3)\\ = log(x^8*y^9)-log(z^3)\\ = log(x^8*y^9/z^3)\\ where`