http://www.flickr.com/photos/80147355@N0…
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a = 1/2
b = 2
c = 6
d = 1/6
b = 2
c = 6
d = 1/6
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a)
log[base 16] (4)
= log [base 4^2] (4)
= 1/2 log[base 4] (4)
= 1/2
b)
log[base 4] (16)
= log[base 4] (4)^2
= 2 log[base 4] (4)
= 2
c)
log[base 2](64)
= log[base 2](2)^6
= 6 log[base 2 ] (2)
= 6
d)
log[base 64] (2)
= log [base 2^6] (2)
= 1/6 log[base 2](2)
= 1/6
log[base 16] (4)
= log [base 4^2] (4)
= 1/2 log[base 4] (4)
= 1/2
b)
log[base 4] (16)
= log[base 4] (4)^2
= 2 log[base 4] (4)
= 2
c)
log[base 2](64)
= log[base 2](2)^6
= 6 log[base 2 ] (2)
= 6
d)
log[base 64] (2)
= log [base 2^6] (2)
= 1/6 log[base 2](2)
= 1/6