Question

An exponential function in the form of y=4096(b) x contains the point (6, 1).

a. b=2^1
b. b=2
c. b=4
d. b=8

Answer 1

To find the value of b in the exponential function y = 4096(b)^x that contains the point (6, 1), we can substitute the given values into the equation. The correct value of b is 1/16.

Step-by-step explanation:

To find the value of b in the exponential function y = 4096(b)^x that contains the point (6, 1), we can substitute the given values into the equation.

So, when x = 6 and y = 1, we have:

1 = 4096(b)^6

To solve for b, we can take the sixth root of both sides:

∛1 = ∛4096 * (b)^6

1 = 16b

Dividing both sides by 16:

b = 1/16

Therefore, option b) 1/16 is the correct value of b.