Question

Which logarithmic graph can be used to approximate the value of y in the equation 3y = 8?

The graph of function f of x equals log base 4 of x minus 4
The graph of function f of x equals log base 3 of x
The graph of function f of x equals log base 4 of x
The graph of function f of x equals log base 4 of x plus 3 @StudyGurl14

Answer 1

\[3^y=8\\ log_3(8)=y\]

Answer 2

so i guess you are supposed to say
\[f(x)=\log_3(x)\]

Answer 3

then finding
\[\log_3(8)\] is the same as solving \(3^y=8\)

Answer 4

you are basically looking for a base 3 log graph

Answer 5

take the base 3 log on both sides of 3^y=8 to get y=base 3 log 8

Answer 6

to find the curve that is base three log 8 you should look at some points; for instance base 3 log 9=2, and base 3 log 3=1

Answer 7

So you should get a graph with points (1,0) (3,1) (9,2)

Answer 8

I can tell you right now that 8 is a lot closer to 9 than it is 3, so you should see a point (8,approx. 2)

Answer 9

Hello?