Question

Need help for this question pleaseeee ​

Answer 1

9514 1404 393

Answer:

y = 27·x² or (a, n) = (27, 2)

Explanation:

Taking the log (base 3) of the given equation, we have ...

`\log_3(y)=n\cdot\log_3(x)+\log_3(a)`

Using the points given on the graph, we have 2 equations in n and 'a'.

3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

a = 3³ = 27

and

7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

4 = 2n

2 = n

The values of a and n are 27 and 2, respectively.