Question

I can't, for the life of me, figure this out. Please help! Fan and medal will be given. Thank you in advance! :)

Solve.
2(x-5) 3/2 = 54

Answer 1

Yes :)

Answer 2

Is that (3/2) an exponent or a multiplicand? I have my doubts because the expression as posted above includes (2/2) = 1. Double check this, please.

Answer 3

It looks like an exponent. And I have written it exactly as the problem is given.

Answer 4

Yes :)

Answer 5

Is that how it starts out?

Answer 6

2(x-5) ^(3/2) = 54
(x-5) ^(3/2) = 27
((x-5) ^(3/2) )^(2/3) = 27^(2/3)
x-5 = 9
x = 14