Question

ok, so I'm doing my math homework and a random question about log comes up and do not remember anything about that... it wants me to evaluate log base 2 1/32... please help

Answer 1

\[\log_{2} \frac{ 1 }{ 32 }=?\] Please express 32 as a power of 2, OK?

Answer 2

2^2=4
2^3=8

and so on

Answer 3

okay... what do i do now?

Answer 4

express 32 as a power of 2.

Answer 5

\[\log_{2} 1/32\] like this?

Answer 6

Now that's what they gave you alrady

Answer 7

Already

Answer 8

oh nevermind, okay i get it now... thank you!

Answer 9

No (typing errors)

Answer 10

No.
2^1=2
2^2=4
2^3=8

Please express 32 as a power of 2 following these examples.

Answer 11

What is the answer?

Answer 12

You got

Answer 13

2 to what power produces 32... ?

Answer 14

Or 2^x=32 what is x?

Answer 15

it doesn't come out even... i got \[4\sqrt{2}\]

Answer 16

Hmmmm how did you get that?

Answer 17

square root 32, do a tree because the calculator gave me a decimal, and simplify

Answer 18

Your nothing taking square root of 32

Answer 19

then how would you get x?

Answer 20

when you do this'll you have the base of 2 so that's going to be multiplied some amount of times to get 1/32

Answer 21

Please follow the pattern I've typed out for you.

2^1 is "2 to the first power;" the answer is 2.
2^2 is "2 to the 2nd power;" the answer is 4.
Please continue this patter until you discover which power of 2 gives you 32.

Answer 22

so it's \[1/32\div2?\]

Answer 23

No

Answer 24

its 5!

Answer 25

Do NOT use a calculator for this. You need to be able to do these particular calculations in your head.

What does 2^3 mean: Explain it in words, please.
Can you explain why you're not comfortable doing this?

Answer 26

Because we want 2 to be multiplied so many times so 2 times 2 times 2 times 2 until we get to 32 just think of it that way for now

Answer 27

Example: "The fourth power of 2 is 16."
Your turn: "The fifth power of 2 is ...... ?

Answer 28

32

Answer 29

"The 6th power of 2 is 64."

Answer 30

Yes so 2^5 power is 32 now how do you think you would get 1/32?

Answer 31

Yes. 32=2^5.

Now, rewrite 1/32 with a power of 2 in the denominator.

Answer 32

-5?

Answer 33

Yes

Answer 34

Kayders asked the right question and y ou have given the right answer. Can you now finish the problem?

Answer 35

yeah... makes more sense. thank you both!

Answer 36

What is the log to the base 2 of 1/32?

What is the log to the base 2 of \[\frac{ 1 }{ 32 }?\]

Answer 37

:) glad to help

Answer 38

-5

Answer 39

What is the log to the base 2 of \[\frac{ 1 }{ 2^5 }?\]

Answer 40

Kayders?

Answer 41

What?

Answer 42

Please give Anya_Marie feedback on her lastest answer.

Answer 43

Well it's right, I don't know what else to say 2^-5=1/32 remember if you have a fraction you will always have a negative power

Answer 44

A_M: Thank you for sticking with us. sorry it took a while....but it looks as tho' you are understanding much better what to do to "solve" this problem. Thank you, kayders, for your input.

Answer 45

yes, the correct answer is -5. That's the log to the base 2 of 1/32. Good.

Answer 46

it's okay. and thanks for helping... math really isn't my strongest point... and this was the last question on the homework and we haven't studied log in like 3 sections. kinda caught me off guard