Question

https://s1.postimg.org/48k056e2bz/Capture.png

Answer 1

@Vocaloid

Answer 2

you can re-write these expressions as log(x)/log(b) and log(x)/log(a)

if log(x)/log(a) > log(x)/log(b) for large values what does that tell you about a and b?

Answer 3

hint: don't think about the logs for a moment, just compare

X/A > X/B

which denominator has to be larger?

Answer 4

let's try substituting numbers for A, and B

X/3 ___ X/5

is X/3 bigger or is X/5 bigger?

Answer 5

3

Answer 6

good, X/3 is bigger than X/5
for the same numerator, the smaller the denominator, the greater the quotient

Answer 7

so, with that in mind,

X/A > X/B

is A bigger or is B bigger?

Answer 8

a

Answer 9

think about our example from earlier

Answer 10

the smaller the denominator, the bigger the quotient

Answer 11

the bigger quotient must have the smaller denominator

Answer 12

wait b is x/3 I'm multitasking trying to read all your responses

Answer 13

no

Answer 14

the 3 and 5 was just an example. we noticed that x/3 was bigger than x/5 since 3 < 5. now we are trying to apply the same logic to compare X/A and X/B, given that X/A > X/B

Answer 15

given:

X/A > X/B

we are trying to see whether A is bigger or B is bigger

Answer 16

the ~bigger~ quotient has the ~smaller~ denominator

Answer 17

ok so b

Answer 18

good, B is bigger. now let's apply this logic to the original problem.

Answer 19

a is answer?

Answer 20

log(x)/log(a) > log(x)/log(b)

which is bigger? log(a) or log(b)?

Answer 21

a because of this> sign

Answer 22

please refer to our earlier logic

Answer 23

the bigger quotient has the smaller denominator

Answer 24

well we have determined b is bigger so what's your angle exactly

Answer 25

good, so if b > a then which is the best answer?

Answer 26

like i said a?

Answer 27

please read the answer choices carefully

Answer 28

d

Answer 29

we have stated that b > a

which answer choice states that b is greater than a?

Answer 30

< means less than so b or c is it b

Answer 31

good b

Answer 32

https://s1.postimg.org/4jkvabnunj/Capture.png

Answer 33

when you apply a scale factor inside the parentheses it's a horizontal transformation

Answer 34

the + 4 is a vertical translation upwards by 4

Answer 35

so b and e

Answer 36

good (I'm not sure why "reflect over x-axis isn't an option, it seems like it would apply here)

Answer 37

https://s1.postimg.org/8evwzscvv3/Capture.png

Answer 38

@Vocaloid

Answer 39

the -6 is inside the parentheses, so it would be right instead of down

Answer 40

but I guess that's not an option so let's move on

Answer 41

so would down be right then?

Answer 42

multiplying the function by a (-1) on the outside reflects it across x-axis

Answer 43

the graph doesn't move left

Answer 44

that's correct

Answer 45

and the vertical stretch is 2 not 1/2

Answer 46

only 2 answers though is it stretch 2 and left cause you mentioned over x axis

Answer 47

we mentioned that it is translated to the right, not to the left

Answer 48

but right is not an option, so it would just be the other two transformations.

Answer 49

ok