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LOG AND EXPONENTIAL

Log41=______ (fill in the blank)
 
For parts a and b 
 let x=Log4 1/16
 
a) Write the exponential form of the equation.
b)Determine the numerical value of x, in simplest form. Show work.
 
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1 Answer

logxa=b  is equivalent to xb=a.
 
For example,
 20=1 therefore log2 1=0.
 
 
 2x =1/16=(1/24 )=2-4, therefore x=Log2(1/16)=-4.

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