Posted by Christina on .
(x4)^3/2 = 6
In the end I got .69, but that's wrong. Please help. I don't really understand.
My work.
x4 = 6^2/3
x=46^2/3
x=.6980727511

Algebra 2 
Reiny,
Your equation has no solution
If you look at the left side ....
(x4)(3/2)
= [(x4)^3 ] ^(1/2)
= √(x4)^3
for all values of x < 4 , √(x4)^3 will be undefined
for all values of x ≥0, √(x4)^3 will be positive,
so the result can never be 6
Try this online graphing program
and in the first function line enter
(x4)^1.5
http://rechneronline.de/functiongraphs/
change the xrange from 5 to 5 TO 0 to 10
do the same for the yrange
You will see that your graph starts at (4,0) and rises continuously, no way will you ever get 6