Question

help

Answer 1

@Hero

Answer 2

for #3 you would apply [\log_{b} \] to both sides

Answer 3

(should be log base b)

Answer 4

and then for #4 consider the fact you are multiplying x by 2 (a horizontal transformation) and subtracting 4 from x (another horizontal transformation)

Answer 5

thank you i'll show you my answers so far

Answer 6

@Vocaloid

Answer 7

@Vocaloid is3 c

Answer 8

good

Answer 9

yay

Answer 10

give me a sec i'll show you my first 4 answers in a bit

Answer 11

is it too blurry

Answer 12

@Vocaloid

Answer 13

4 is b?

Answer 14

I don't think #1 is right

Answer 15

that's what another person here told me i didn't think so either

Answer 16

i thought c

Answer 17

as a hint: use your exponent rules to re-write 4^(1-x) as a quotient

Answer 18

good, c is right

Answer 19

see i do know some of this and someone said i was wrong

Answer 20

is 2 right or is it d i originally had d someone else said d is wrong

Answer 21

2 is c, good

Answer 22

the reason you eliminate the negative solution is because your log functions each need to be positive or 0

Answer 23

ok so the first 3 are c lol

Answer 24

check 4 again

Answer 25

4 b?

Answer 26

ok

Answer 27

(x-h) means a horizontal shift by h units to the right

Answer 28

so then 2 it is a shift by 2

Answer 29

look at the original problem

Answer 30

i graphed it though?

Answer 31

how does it not shift 2 units though every direction it does

Answer 32

and it shrinks?

Answer 33

it's 2x-4?

Answer 34

it's easier to see the shift if you only consider one transformation at a time.

Answer 35

ok

Answer 36

if you try plotting log(2x-4) it can be confusing to see the shift especially with a bad scale/axes

Answer 37

so 4 compressed

Answer 38

no

Answer 39

you have f and g backwards?

Answer 40

now I'm confused ?

Answer 41

switched

Answer 42

ok horizontally it stretches it appears

Answer 43

right?

Answer 44

I have only applied one transformation ( the shift to the right by 4 units )

Answer 45

I have not applied the stretch/shrink yet

Answer 46

ok I'm tried graphing into mathway one minute it doesnt want to graph and the next idk

Answer 47

it's very hard to see graphically but it gets compressed horizontally

Answer 48

you also need to be able to do these algebraically without looking at graphs

Answer 49

so I was right about compression

Answer 50

when you multiply x by a number greater than 1 it's a horizontal compression, yes

Answer 51

ok and the 4 kinda gives it away that it is 4 and the only options are to the right

Answer 52

combine the two logs inside the brackets into one log expression using your log rules

Answer 53

is it b?

Answer 54

a is wrong d doesn't make sense and c i didn't get -3 as a bottom

Answer 55

good, b

Answer 56

yay

Answer 57

I don't remember how to do 6, but it would involve a change of base

Answer 58

i am basically dividing what i got for a decimal to see which one it is hold on

Answer 59

it's c

Answer 60

the decimal is a negative so that means a or c and the decimal is -1.19....

Answer 61

sure, go with that

Answer 62

7 is just graphing to see what the graph is so i figured that out

Answer 63

is taht supposed to be 0.5?

Answer 64

probably

Answer 65

it would be c right

Answer 66

I'm actually getting a bit too exhausted to process this properly @Hero could you spare a moment?

Answer 67

d wouldn't make sense -5 to -4

Answer 68

any negative number value for x would make the left side greater in value than the right if it is positive it would make the right side larger