Carcass wrote:
The function f is defined by \(f(x)=2^x-3\). If \(f(x)=31\), then the value of x is between?
A) 1 and 2
B) 2 and 3
C) 3 and 4
D) 4 and 5
E) 5 and 6
Given: f(x) = 2^x - 3
So, if f(x) = 31, we can write: 2^x - 3 = 31
Add 3 to both sides to get: 2^
x =
34 [solve this equation for x]We know that 2^
5 =
32and 2^
6 =
64Since
34 lies between
32 and
64, we can conclude that
x is between
5 and
6Answer: E
_________________
Brent Hanneson - founder of Greenlight Test Prep