Question

Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.

Answer 1

x 2^(-x) 4^(x+3)

-3 8 1

-2 4 4

-1 0 16

0 1 64

1 0.5 256

2 0.25 1024

3 0.125 4096

The solution is x = -2 because both functions return the same value, i.e. 4.