Question

If 2 power x and -2powerx-1=4 find the value of x

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

x=3

Step-by-step explanation:

2^x - 2(x-1) = 4

2^x - 2^x/2 = 4                              (by rule of indices: x^(a-b)=x^a/x^b)

let 2^x = a

a-a/2 = 4

(2a - a)/2 = 4

a = 8

2^x = 2^3

x=3                                            (since bases are equal powers must be equal)