Question

What logarithmic function represents the data in the table?
x f(X)
25 2
125 3
625 4

Answer 1

Hint. You will need to use the relation between power and logarithms

Answer 2

x f(X)
25 2

what is the number, that when squared (\(number)^2\) = \(25\).

Answer 3

if you know that number, then you can apply it with the rest of the information given.
x f(X)
25 2 \((number)^2=25\)
125 3 \((number)^3=125\)
625 4 \((number)^4=625\)

Answer 4

The function, therefore, would be \(f(x)=(number)^x\) that would be the rule that will apply for all the plotted points given.