Question

Use the equation and type the ordered-pairs.

y = log 3 x

{(1/3,__), (1,__), (3,__), (9,__), (27,__), (81,__)}

Answer 1

The given equation , in two variables is

y= log 3 x

Ordered pair is written in the form of ,(x,y).

`1. x=(1)/(3), y=\log 3 *(1)/(3)\\\\ y=\log 1 \\\\ y=0\\\\2. x=1, y=\log 3 * 1\\\\y=\log 3\\\\ 3. x=3, y=\log 3 * 3\\\\ y=\log 3^2\\\\ y=2\log 3\\\\4. x=9=3^2, y=\log 3 * 9\\\\ y=\log 3^3\\\\ y=3\log 3 \\\\5.  x=27=3^3, y=\log 3 * 3^3\\\\ y=\log 3^4\\\\ y=4\log 3\\\\6. x=81=3^4, y=\log 3 * 3^4\\\\ y=\log 3^5\\\\ y=5\log 3`

Answer 2

If it is y = love 2x:

y = log_2 (x) =====> when x = 1/2
y = log_2 (1/2)
y = -1 ======> (1/2 , -1)

y = log_2 (x) =====> when x = 1
y = log_2 (1)
y = 0 ======> (1 , 0)

y = log_2 (x) =====> when x = 2
y = log_2 (2)
y = 1 ======> (2 , 1)

y = log_2 (x) =====> when x = 4
y = log_2 (4)
y = 2 ======> (4 , 2)

y = log_2 (x) =====> when x = 8
y = log_2 (8)
y = 3 ======> (8 , 3)

y = log_2 (x) =====> when x = 16
y = log_2 (16)
y = 4 ======> (16 , 4)