Question

If (x,1/100) lies on the graph of y = 10^x, then x =​

Answer 1

`x=-2`

Explanation:

Given:
`(x,(1)/(100))` lies on the graph
`y=10^x`

Solution: For y=
`(1)/(100)`, the given equation of the graph becomes,

`y=10^x`

⇒
`(1)/(100)=10^x`

⇒
`10^(-2)=10^x`

Since, the base is same on both the sides, therefore equating the exponents, we get

`x=-2`

Thus, the value of x is
`-2`