Solve : 16x⁸ = 81?

+/- 1.22
just type it into ur Casio GDC

find the root.

Reading as :-
16x² = 81
x² = 81 / 16
x = ± 9/4

thats easy to find, just divide 81 by 16.

16x^8 = 81
x^8 = 81/16
logx^8 = log(81/16)
8logx = log(81/16)
logx = {log(81/16)}/8
x = antilog{log(81/16)/8}
x = 1.224744871 answer

Hope this helps.

teddy boy

x^8 = 81/16
x^4 = 9/4
x^2 = 3/2
x =1/2 sqrt 6

16x^8=81
x^8=3^4/2^4
x^8=(3/2)^4
x^2=3/2
then
x=sqrt(3/2)
or x=-sqrt(3/2)

16x^8 = 81
x^8 = 81/16
x = 8√(81/16)
x = 4√(9/4)
x = √(3/2)
x = (3/2)^(1/2)

5.0625 but if you are rounding to the nearest 10th its 5.1