Which of the following points is on the graph of y = log1/2x?

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

(1/2,1) is on the graph of

B is correct.

Step-by-step explanation:

Given:

We are given a log function whose base 1/2.

Log property:

If base and mantissa is same then their value is 1

We need to choose correct point from the options.

Option 1: (1,1/2)

False

Option 2: (1/2,1)

True

Option 3:

Log is not defined for x=0.

Hence, (1/2,1) is on the graph of

Hello mate!

here we have the function log₀.₅(x)

and we want to see which points are in the graph of this function.

The options are  

(1, 1/2)

(1/2, 1)

(0, 1)  

first: y = log₀.₅(x) = ln(x)/ln(1/2)

when x = 1/2, the function y = ln(1/2)/ln(1/2) = 1

so the point (1/2, 1) is in the graph of the function.

now, ln(0) is undefined, so the point (0,1) is not in the graph.

ln(1) = 0, so y = ln(0)/ln(1/2) = 0, when x is equal to 1, y is equal to 0, then the point (1, 1/2) is not in the graph.

The only point that lies in the graph is (1/2, 1)

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

where are the choices?