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Study the pattern in the equations. Use your observations to solve the equation for a. Express your answer in terms of x.

log(4^x)(2^a) = 3

Where (4^x) is the base.

 Feb 4, 2021
 #1
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log 4^x  (2^a)  =   3     using the  change of  base rule  we  have

 

log 2^a

______  =   3

log 4^x

 

a log  2

________  =  3

x log 4

 

a log 2

________   =    3

x log 2^2

 

a log 2

________    =    3

2x log 2

 

a

__  =   3

2x

 

a =  3*2x

 

a  = 6x

 

 

 

cool cool cool

 Feb 4, 2021

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