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How to solve 4096=x^180

 Jul 24, 2016

Best Answer 

 #2
avatar+33603 
+10

Could also do this as follows.

 

Notice that 4096 = 2^12

 

Let x = 2^p

 

Then we have:  2^12 = 2^(180p)

 

180p = 12, so p = 12/180

 

x = 2^(12/180) ≈ 1.04729

 Jul 24, 2016
 #1
avatar+118587 
+5

How to solve 4096=x^180

 

log 4096=log x^180

 

log 4096=180log x

 

(log 4096)/180 =log x

 

\(10^{log (4096)\div 180} = x\)

 

 

10^(log(4096)/180) = 1.0472941228206267

 Jul 24, 2016
 #2
avatar+33603 
+10
Best Answer

Could also do this as follows.

 

Notice that 4096 = 2^12

 

Let x = 2^p

 

Then we have:  2^12 = 2^(180p)

 

180p = 12, so p = 12/180

 

x = 2^(12/180) ≈ 1.04729

Alan Jul 24, 2016

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