Question

Solve x^(4/3)=81

Answer 1

81^(3/4)

Answer 2

why did you do that?

Answer 3

\[x^\frac{4*3}{3*4}=81^\frac{3}{4}\]

Answer 4

oh mine that isn't readable

Answer 5

whyd you multiply 4*3? its a fraction?

Answer 6

x^(4/3) = cube root (x^4)

If you cube both sides, you get:

x^4 = 81^3

x^4 = 531,441 Take the 4th root of both sides and you get:

x = 27

Answer 7

if we multiply the exponent on the left side by 3/4, then we have to multiply the exponent on the right side by 3/4.
the reason we chose 3/4 is because 4/3*3/4=1
so this we give us x^1 or x

Answer 8

81^(3/4)=27

Answer 9

x^(2/3)=8
then
x=8^(3/2)

Answer 10

if we have x^(4/5)=1231
then x=1231^(5/4)

Answer 11

ok so is that just like a rule that u always do? andd it would be the same thing as 4/3logx=log81 right?

Answer 12

if we have x^(3/2)=8,
then x=8^(2/3) and x=(-8)^(2/3)
because it is okay to have an odd root with a negative inside

Answer 13

so are you saying the answer is 27 AND -27?

Answer 14

logx^(4/3)=log81
x^(4/3)=81
yes same thing
x=81^(3/4)

Answer 15

no we had an even root for that one
see the root at the end
it is 4 (which is even)

Answer 16

x^(2/3)=4 =>x=4^(3/2) (we raised both sides with even root so one answer)
x^(3/2)=4 =>x=4^(2/3) and x=(-4)^(2/3) (we raised both sides with odd root)

Answer 17

i have to do something i might be back in a few seconds or minutes