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

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