Question

Evaluate log2 1/64

Answer 1

start by writing 64 to a power of 2

Answer 2

4096

Answer 3

No. 64 = 2^n

Find n

Answer 4

8

Answer 5

No, try again

Answer 6

dont you square it

Answer 7

64 = 8^2

we're looking for 2^n

Answer 8

How many times do we have to multiply 2 to get 64?

Answer 9

2 times

Answer 10

No. 2 x 2 x 2 x 2 x 2 x 2 = what

Answer 11

64

Answer 12

Thats good. So we have

\[2^{6} = 64\]
Do you follow?

Answer 13

2^6?
\

Answer 14

yeah lol

Answer 15

OK so what do you think 1/64 will be, expressed as a power of 2 ?

Answer 16

now im confused what arwe you saying

Answer 17

OK. lets try something different

have you seen the rule log(m/n) = log(m) -log(n) ?

Answer 18

no

Answer 19

this is a basic log rule.

in your original question you had log(1/64) (where log is base 2)

so what do you think that works out to?

Answer 20

6

Answer 21

You appear to have no understanding of logarithms and the rules associated with them.

log(1/64) = log(1) - log(64)

Answer 22

using the rule I wrote earlier