Question

Which of the following points is on the graph of y = log(1/2)x?

(1, 1/2)
(1/2, 1)
(0, 1)

Answer 1

If you mean that 1/2 is the base of the logarithm then the the answer is (1/2,1)

- because if y = log (base 1/2) x then x = (1/2)^y and x = 1/2 , y = 1 fits this equation

Answer 2

Option 2 is right

(1/2,1)

Explanation:

Given is a function with graph as

`y=log_{(1)/(2) } x`

Here 1/2 is the base

We find that when x=1, log x =0 and hence (1,1/2) does not lie on this graph

(1/2,1)

When x =1/2, f(x) = log of a number to its own base =1

Thus (1/2,1) satisfies this equation and hence lies on the graph

(0,1) is not right because log x is not defined and not finite.

So only option 2 is right