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The expression $\dfrac{\sqrt{7}}{\sqrt[3]{4}}$ equals 7 raised to what power?

 Jan 4, 2023
 #1
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 7^n = sqrt(7)/2^(2/3), solve  for n

 

Sqrt(7) / 2^(2/3) ==1.666718885

 

7^n ==1.666718885   [Take the log of both sides]

 

n ==Log(1.666718885) / 1og(7)

 

n ==0.262528542

 Jan 4, 2023

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