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Suppose a does not equal 0. Compute log_{4^a} 8^b in terms of a and b.

 Jun 1, 2021
 #1
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log 4^a 8^b

 

Using  the  change of  base  theorem

 

x =   log 8^b  /  log  4^a

 

x  =  b log 8 /  ( a log 4)

 

x =  (b/a)  *  log 8 / log 4

 

x = (b /a)  * (3/2)

 

x =   (3b)  / (2a)

 

 

cool cool cool

 Jun 1, 2021

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