Question

Use the equation and type the ordered-pairs.

y = log 3 x

{(1/3,____,)(1,___), (3,___),(9,____),(27,____),(81,___)}

Answer 1

I don't know if the equation is log of 3 x or natural log( log of 10) so I'll just assume that it is log of 3


-1,0,1,2,3,4 is the answer for y according to order

Answer 2

`{(1/3, 0) , ( 1, 0.477), (3, 0.954), (9, 1.43), (27, 1.90), (81, 2.385)}\\`

Explanation:

Here the "X" Values are given, thus the corresponding "Y" values will be

`Y = log (3 X)\\a) X = (1)/(1) , Y =  log (3 * (1)/(3) ) = log (1) = 0\\b) X = 1, Y = log (3*1) = log (3) = 0.477\\c) X = 3, Y = log (3*3) = log (9) = 0.954\\d) X = 9, Y = log (3*9) = log (27) = 1.43\\e) X = 27, Y = log (3* 27) = log (81) = 1.90\\f) X = 81, Y = log (3 * 81) = log (243) = 2.385\\`

So the pattern would be

`{(1/3, 0) , ( 1, 0.477), (3, 0.954), (9, 1.43), (27, 1.90), (81, 2.385)}\\`