Need help with algebra II?

Question

Make a table of values for y = log(base 3)(x) and then graph... (just need help with the table but not graphing...)

Make a table and graph: y = 10^log(3x)

Answer 1

Hi,

You can get points from your graphing calculator if you type in

Y1 = log(x)/log(3)

Then look at your table for points. You'll see there are only values when x is positive. You may need to change your tableset so you can get some fractions or decimals for x between 0 and 1.

Here are some x and y values. you can get more the way I described above.

x.......y
-------------
1/4...-1.26
1/2.....-.63
3/4.....-.26
1.........0
2.........0.63
3.........1
4..........1.26
9...........2
27.........3


I hope that helps!! :-)

Answer 2

1. Since you are base 3, x=1, y=0
x=3,y=1 ; x=9,y=2 ; x=27,y=3.

2. I assume you want y = 10^log(base 3) x. Since you made the table for log(base 3) x above, each y here is 10^(y) in the previous example. So, for x=27, y (in this problem) = 1000

Answer 3

I'll help, but I won't do it for you.
3^x=y make an x y table
if x=1 then y= 3
if x=2 then y=9 (etc.)