Question

Can someone kind enough help me with these definitions? http://gyazo.com/4bd27cb1e7be0317a09fe1333044e9e5

Answer 1

Really, you just have to know them. How far have you gotten?

Answer 2

I have got any of them, I'm new to this. (online class)

Answer 3

havn't @tkhunny

Answer 4

Well, then this is a placement exam or pre-test? Maybe you shouldn't know any of them.

Answer 5

This is what I have to learn, I have a help guide like pictures for them actual book. I have to complete packets and turn them in for a final grade. @tkhunny

Answer 6

I found some, are these right? 3. D and 6. C @tkhunny

Answer 7

3D and 6C are correct.
Many of these are definitions that you must know.

Answer 8

Good call. What else have you?

Answer 9

11 looks easy.

Answer 10

5. DE?

Answer 11

11. AB?

Answer 12

\[
f^{-1}(x) \text{ represents the inverse function of } f(x).
\]

Answer 13

So 5 DE is incorrect.

Answer 14

incorrect in a way lol

Answer 15

Is 8 CD?

Answer 16

No.

Answer 17

And 9 is DE Correct?

Answer 18

If that's not right, I'm lost. lol

Answer 19

Oh wait, is 8 CE?

Answer 20

8) f(x) = b^x
To find inverse, write f(x) as y:
y = b^x
switch x and y:
x = b^y
solve for y:
take log to the base b on both sides:
\(\log_b(x) = y\log_b(b) = y\)
\(y = \log_b(x)\)
replace y with \(f^{-1}(x)\)
\(f^{-1}(x) = \log_b(x)\)

Answer 21

How'd you come up with this? logb(x)=ylogb(b)=y

Answer 22

So 8 is DE right?

Answer 23

And 9. CD right?

Answer 24

\[
x = b^y \\
\log_bx = \log_bb^y = y \log_b b = y \\
\text {because} ~~ \log a^n = n * \log a \text{ and } \log_a a = 1
\]

Answer 25

Yeah, 8 is DE. and if you go reverse DE is 8 which will help answer 9!

Answer 26

9 Is CD ?

Answer 27

And is 2 BD?

Answer 28

9 is CD.

Answer 29

BD will work for 2.

Answer 30

\[\large
\log a^n = n * log a \\ \large
\log_bb^x = x * \log_bb = x * 1 = x
\]

Answer 31

1. AE Correct?

Answer 32

Yes.

Answer 33

Do you do log in a calculator?

Answer 34

Cause that's throwing me off on everything.

Answer 35

some logs are simple. log(100) = 2 because 10^2 = 100.
For other you may need a calculator IF the decimal values are asked. Otherwise you can leave it as just log. log(5) is a good enough answer by itself.

Answer 36

Oh okay good good, you're amazing at this.

IS 11 AB?

Answer 37

11 is B. e = 2.71828...

Answer 38

I don't know what 4,5,7,10 are.. Hmm

Answer 39

"e" is the base for natural logarithm.

Answer 40

I answered 4 about 5 replies back.

Answer 41

Nope, you said 5 DE is incorrect.

Answer 42

I did not say 5 is DE.

Answer 43

I know, I said it. But you said it was incorrect.

Answer 44

Look back. 8 is DE. I have a long derivation and it is marked 8)

Answer 45

I see, how does that help with 5?

Answer 46

5 BE

Answer 47

4 E

Answer 48

Waitttt so Logb is together right?

Answer 49

7 AC

Answer 50

\[\large
\log_b b^x = x * \log_b b = x * 1 = x
\]

Answer 51

10 is x?

Answer 52

Yes. Also E. (E used once before).

Answer 53

This the first time we use the answer choice E.

Answer 54

4 is also E.

Answer 55

So I'm guessing one of them is wrong I don't think we can use more then twice.

Answer 56

Wouldn't 4 be BE?

Answer 57

No. Both are correct. You can use the same answer choice twice. Also there are 11 questions but 16 choices. So some of the answer choices are never used.

Answer 58

4 and 10 are both E.

Answer 59

Okay, great. Thanks for the help. I got much more problems but I bet im getting on your last nerves :P

Answer 60

Read your books / notes and get the fundamentals of log and exponential so you can do these problems on your own.

Answer 61

One question would (e^3)^2 = e^6?