Question

If `5^(3x)=125` and `10^y=0.001,` find x and y.

Answer 1

It is given that `5^(3x)=125` and `10^y=0.001`.

Now,

`5^(3x)=125`

`rArr5^(3x)=5^3`

`rArr3x = 3`

x = 1

And,

`10^y=0.001`

`rArr10^y=1/1000`

`rArr10^y=10^-3`

⇒ y = -3

hence, the value of x and yare 1 and -3, respectively.