Answer:
Option 3rd is correct
value of x is, -2
Step-by-step 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;
\(\frac{1}{100} = 10^x\)
We can write \(\frac{1}{100}\) as:
\(\frac{1}{100} = \frac{1}{10^2} = 10^{-2}\)
then;
\(10^{-2} = 10^x\)
On comparing both sides we have;
-2 = x
or
x = -2
Therefore, the value of x is, -2
