SOLUTION: how do i solve and check 4^2x=32^1/2

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Question 565053: how do i solve and check
4^2x=32^1/2
Answer by ad_alta(240) About Me  (Show Source):
You can put this solution on YOUR website!
Solve:
1) (4^2)x=(32)^(1/2)
2) 16x=4*sqrt(2)
3) x=sqrt(2)/4
Check:
1) 16*(sqrt(2)/4)=4*sqrt(2)
2) Also, (2*16)^(1/2)=4*sqrt(2)