X^1/8 =32 solve for x
use logs
log(x^(1/8) ) = log 32
(1/8) logx = log32
logx = 8log32
= ...
then antilog, or 2ndF of log or whatever your calculator says
btw, x will be huge
perhaps you had a typo and you meant x^5 = 32
in that case
x^5 = 2^5 --->x = 2
x^(1/8) means the 8th root of x.
So, x = 32^8
To solve for x in the equation x^(1/8) = 32, we need to isolate x on one side of the equation.
To do this, we'll raise both sides of the equation to the power of 8, which is the reciprocal of 1/8. By doing this, we eliminate the 1/8 exponent on the left side and end up with x alone.
Applying the power of 8 to both sides:
(x^(1/8))^8 = 32^8
Simplifying the left side of the equation:
x = 32^8
Calculating 32^8 on a calculator or computer, we find that x is approximately equal to 1,073,741,824.
Therefore, the solution to the equation x^(1/8) = 32 is x ≈ 1,073,741,824.