Question

See attachment below!!!!

Answer 1

-6

Explanation:

Simplifying it the most gets it to -6

Answer 2

Answer: Third option.

Explanation:

We need to remember these properties:

`log_b(a)^n=nlog_b(a)\\\\log_b(b)=1\\\\(1)/(a)=a^(-1)`

Then, given the following expression:

`log_2((1)/(64) )`

You need to:

- Descompose 64 into its prime factors:

`64=2*2*2*2*2*2=2^6`

- Substitute:

`log_2((1)/(2^6) )`

- Apply the properties shown above:

`log_2(2)^(-6)=-6log_2(2)=-6(1)=-6`