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how do u figure out 5^x = radical of 5

(evaluate log5radical5)

 Jan 2, 2017
 #1
avatar+355 
+5

if you mean 5^x = sqrt(5) then:

 

x = 1/2

 

Because square roots are numbers raised to the 1/2 power.

 

Hope that helpedlaugh

 Jan 2, 2017
 #2
avatar+9519 
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\(5^x = \sqrt5\\ x \log 5 = \log (\sqrt5)\\ x = \dfrac{\log(\sqrt5)}{\log 5}\)

Put this into the calculator and it is 1/2.

 Jan 3, 2017
 #3
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start by taking the log on both sides of the equation.

 

lg5(5^x) = lg5(sqr(5))

 

x = 1/2

 Jan 3, 2017

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