Any number greater than 700,000 with ten-thousands digit 1 through 4 will round down to 700,000. For example, 748,235 will round to 700,000.
I can eyeball points (1/2, 8), (1,4), (2,1), (3,1/4)
The pattern is each increment of 1/2 in x divides by two.

Any of the points give k=16

Check: x=1/2 4^(3/2)=2^2=8 good
x=1 4^(2-1)=4 good
x=2 4^(2-2)=1 good
x=3 4^(2-3)=1/4 good
Multply across the fraction so
1/2 * 3/4= (1*3)/(2*4)=3\8
Answer:
The answer I got for this equation is x=5
I hope this image helps of showing you how to solve the equation.