Question

4 to the power x-2 minus 2 to the power x-1=0

Answer 1

4^x-2 - 2^x-1=0

((2)^2)^x-2 - 2^x-1

2^2x-4 - 2^x-1

2x-4-x+1=0

x-3=0

x=3

Answer 2

Answer:

x=3

Step-by-step explanation:

(4)^(x-2) - (2)^(x-1) =0

(2^2)^(x-2) - (2)^(x-1) =0

2(x-2)-( x-1) =0

2x-4-x+1=0

x-3=0

X=3