## Question

###### How do you evaluate #log_2 (1/64)#?

How do you evaluate #log_2 (1/64)#?

## Answers

#-6# .## Explanation:

#log_2(1/64)=log_2 1-log_2 64=0-log_2 (2^6)=-6log_2 2#

#=-6# .Or,

#log_2 (1/64)=x rArr 2^x=1/64=1/2^6=2^-6# .Since,

#log# function is #1-1, x=-6.

#:. log_2 (1/64)=-6# .

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