Question

Enter the value of x such that ³√3ˣ multiplied by 3 and 5/3 equals ³√3⁷.

Answer 1

You mean?\[\sqrt[3]{3^{x}}\times3\frac{ 5 }{ 3 } = \sqrt[3]{3^{7}}\]

Answer 2

Yes!

Answer 3

so you know that
5
3--- = 5
3

after this how you can continue it ?

Answer 4

cuberoot(3^x) = 3^(x/3)

on the other side there is

cuberoot(3^7) = 3^(7/3)

so than you can rewriting your equation in this form :

3^(x/3) *5 = 3^(7/3)

do you can continue from this ?