Log2 log2 log2 16=1 .........
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Answer:
1
Step-by-step explanation:
it reads as log(base 2){log(base 2)[log(base 2)(16)]}
=log(base 2){log(base 2)[log(base 2)(2^4)]}
=log(base 2){log(base 2)[4*log(base 2)(2)]}
=log(base 2){log(base 2)[4]}
=log(base 2){log(base 2)[2^2]}
=log(base 2){2log(base 2)[2]}
=log(base 2){2}
=1
Base of log means power of number. Thus log (base x) x=1. Mentioning only log implies base 10 is being used.
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