Question 1163251
i understand this problem as:


given that log(x^256) = 2, find log(8^(1/x))


start with 2 = log(x^256)
this is true if and only if:
10^2 = x^256
take the 256th root of both sides of this equation to get:
(10^2)^(1/256) = (x^256)^(1/256)
solve this equation for x to get:
x = (10^2)^(1/256) = 1.018151722


you now want to find log(8^(1/x))
set y = that to get:
y = log(8^(1/x))
since x = 1.018151722, that becomes:
y = log(8^(1/1.018151722)
solve for y to get:
y = .8869895986


that should be your solution, if i understood the problem correctly.