Question

find value of x

4^x-4^x-1=24

Answer 1

4^x - 4^(x-1) = 24,

4^x [1-4^(-1)]=24,

4^x [1-1/4]=24,

4^x × [4-1]/4 =24,

4^x × 3/4 =24,

then

4^x = 24×4/3,

4^x = 8×4,

4^x = 32,

(2²)^x = 2^5,

then

2^(2x)=2^5,


therefore

2x=5,

x=5/2

Answer 2

the value of x is 5/2