Question

since 3^0=1 what is the value of log 3^1

Answer 1

\[\log_{\large3} 1\]For the answer, ask yourself: "What power of 3 results in 1?"

Answer 2

Hint: You are already given the power of 3 which results in 1.

Answer 3

You just need a definition of the logarithm to answer your question.

Answer 4

i got that one already. Can you help me with (1/2)^256 please

Answer 5

i cannot figure out how to enter this in my calculator, but i also would like to know how to do it without my calculator. but for now what would the answer be.

Answer 6

\((\frac12)^{256}\) ??

Answer 7

yes

Answer 8

Can you tell me why do you want to find it? It is a very small number.
http://www.wolframalpha.com/input/?i=%281%2F2%29^256

Answer 9

it is a problem that i am working on in my math lab

Answer 10

exponential form

Answer 11

It depends on abilities of your calculator. Click the link I have given you and see what number it is.

Answer 12

cheesy calculator

Answer 13

cheap

Answer 14

If you dont have an exponent on your calculator, you have to press 0.5x0.5x0.5x...x0.5 256 times. I think it is not worth of it.

Answer 15

so 0.5x256?

Answer 16

or 0.5x0.5x0.5x0.5x256?

Answer 17

128?

Answer 18

No. Not 0.5+0.5+...+0.5. You have to multiply \(\frac12\cdot\frac12\cdot\frac12\cdot\frac12\cdot\frac12\cdots\frac12\) 256 times!!

Answer 19

that would take forever

Answer 20

i dont have all day. lol

Answer 21

Not forever but a long time.

Answer 22

Why do you want to find it? May be there is another problem?

Answer 23

oh gosh, can you help me? do you have a better calculator than me? how do i enter this in a calculator?

Answer 24

Did you go through the link I had given you?

Answer 25

i see no link

Answer 26

http://www.wolframalpha.com/input/?i=%281%2F2%29^256

Answer 27

oh wolfram. i have that, but how would i enter this in wolfram

Answer 28

(1/2)^256 it will understand

Answer 29

k i got 10^-78 is that right

Answer 30

or is it 8.3636

Answer 31

i mean 8.636

Answer 32

it is \(8.636\cdot10^{-78}\)

Answer 33

now do i simplify that

Answer 34

or is that my final answer

Answer 35

It is the final answer.

Answer 36

k hold on let me type that in my math lab and see if it is correct

Answer 37

nope the answer is y,256

Answer 38

What is the first problem you need to solve?

Answer 39

hold on and i will write everything out

Answer 40

find the exact value of the logarithm without using a calculator, in exponential notation use fact that if a^u=a^v then u=v. log 1/2^256
y=log 1/2^256 change to exponential form. Use the fact that 1/a=a^-1 to rewrite the left side of the equation. (1/2)^y=256
____=256.

Answer 41

what would i put in this blank

Answer 42

are you still there

Answer 43

hello

Answer 44

are you there or not

Answer 45

Hm.. I can't understand the question. I think (1/2)^y=256 is an exponential form.