Question

(2x)^x if 4^x - 4^x-1= 48​

Answer 1

Answer:

4^x - 4^x-1 = 48

we can separate 4^x-1 as 4^x.4^-1

so

4^x - 4^x. 1/4 = 48

taking 4^x common

4^x (1-1/4) = 48

4^x (3/4) = 48

4^x = 48 / 3/4

4^x = 48 × 4/3

4^x = 64

2^2x = 2^6

2X =6

x =3