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x^-.3=.3714

 Sep 18, 2014

Best Answer 

 #1
avatar+129840 
+5

x^-.3=.3714   ...we can write this as

1/(x3/10) = 3714/10000  .... and when two fractions are equal, their reciprocals are equal, too...so we have...

(x3/10) = 10000/3714    ......exponentiate both sides to the (10/3) power

x = (10000/3714)(10/3) = about 27.156     (we could have also solved this problem using logs, too)

 

 Sep 18, 2014
 #1
avatar+129840 
+5
Best Answer

x^-.3=.3714   ...we can write this as

1/(x3/10) = 3714/10000  .... and when two fractions are equal, their reciprocals are equal, too...so we have...

(x3/10) = 10000/3714    ......exponentiate both sides to the (10/3) power

x = (10000/3714)(10/3) = about 27.156     (we could have also solved this problem using logs, too)

 

CPhill Sep 18, 2014

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