Question

if `3^(-x) =3000` then find `10^(3)xx3^(2x+3)`.
A. `3xx10^(-3)`
B. `27xx10^(-3)`
C. `9xx10^(-3)`
D. `3000`

Answer 1

Correct Answer - A
Given ,
`3^(-x)=3000`
`rArr 3^x=(1)/(3000)`
`10^3xx3^(2x+3)=1000xx3^2x xx 3^3`
`=1000 xx3^x xx 3^x xx3^3`
Substituting the value of `3^x` in eq. (2) , we get
`1000xx(1)/(3000)xx(1)/(3000)xx3^3`
`(3)/(1000)=3xx10^(-3)`
Hence, the correct options is (a).