Question

What logarithmic function represents the data in the table? x f(x) 1 0 3 1 9 2

Answer 1

f(x) = log3(x)

Explanation:

y = log3(x)

log3: log with base 3

Answer 2

Assuming the following columns: (1,0), (3,1), (9,2), then we have:

f(x)=log_a(x), where log_a means logarithm in base a.

x=1, log_a(1)=0 (ok)

x=3, log_a(3)=1, a¹=3, so the base in 3

f(x)=log_3(x)

x=9, log_3(9)=log_3(3²)=2 (ok)

Answer: f(x)=log_3(x)