Question

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

2
-1/2
-2

Answer 1

y = 10^x

for y = 1/100

1/100 = 10^x

10^-2 = 10^x ⇒ x = -2

Answer 2

Option 3rd is correct

value of x is, -2

Explanation:

As per the statement:

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

Given the graph:

`y = 10^x` ...[1]

Substitute the point (x, 1/100) in [1] we have;

`(1)/(100) = 10^x`

We can write
`(1)/(100)` as:

`(1)/(100) = (1)/(10^2) = 10^(-2)`

then;

`10^(-2) = 10^x`

On comparing both sides we have;

-2 = x

or

x = -2

Therefore, the value of x is, -2