Question

Log2 log2 log2 16=1 .........

Answer 1

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.