17^b=4 , then 2(1/b)= what?

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17^b=4 , then 2^(1/b)= what?

Guest Jun 18, 2015

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Best Answer

What an unusual question. I like it

$\\17^b=4\\\\ 17^b=2^2\\\\ (17^b)^{1/2}=(2^2)^{1/2}\\\\ (17^{b/2})=2\\\\ (17^{b/2})^{1/b}=2^{1/b}\\\\ 17^{1/2}=2^{1/b}\\\\ 2^{1/b}=\sqrt{17}$

Melody Jun 18, 2015

Melody · Answer 1 · 2015-06-18T03:13:04

What an unusual question. I like it

$\\17^b=4\\\\ 17^b=2^2\\\\ (17^b)^{1/2}=(2^2)^{1/2}\\\\ (17^{b/2})=2\\\\ (17^{b/2})^{1/b}=2^{1/b}\\\\ 17^{1/2}=2^{1/b}\\\\ 2^{1/b}=\sqrt{17}$

CPhill · Answer 2 · 2015-06-18T04:32:25

That's very nice, Melody.......!!!

Melody · Answer 3 · 2015-06-18T04:55:18

Thanks Chris :)