Question

In an exponential function, $(x)= a(b)", it is known that (5) = 15 and S(8) = 170. Which of the

following is closest to the value of b?
(1) 1.87
(3) 3.19
(2) 2.25
(4) 3.72

Answer 1

b = 2.25

Explanation:

Here, we want to get the value of b

from the question;

s(x) = ab^n

Firstly;

15 = a•b^5

Secondly

170 = a•b^8

Divide second by first

170/15 = ab^8/ab^5

11.33 = b^3

b is the cube root of 11.33

b = 2.25