Question

4 to the power x minus 4 to the power x - 1 is equal to 24 then find the value of x

Answer 1

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

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

3 x 4^(x-1) = 24

4^(x-1)=24/3=8

2^2(x-1) = 2^3

2(x-1) = 3

2x-2=3

2x=5

x=5/2

Hope this helps.