Question

Find x,such that logx=4h minus k divided by 2 leaving your answer as a surd

Answer 1

logx=4h minus k divided by 2 , or
logx = (4h - k)/2 OR logx = 4h - k/2

Since you didn't specify the base, the default base is 10, so

first interpretation:
x = 10^( (4h-k)/2 )

2nd interpretation:
logx = 4h - k/2
x = 10^(4h - k/2)

either way, can't see where surds enter the picture.

Answer 2

well, it would be
10^( (4h-k)/2 ) = √(10^(4h-k)) = √10^4^k / √10^k = 100^k / √(10^k)

or something like that