kaylak:

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

10 months ago
kaylak:

@Vocaloid

10 months ago
Vocaloid:

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?

10 months ago
Vocaloid:

hint: don't think about the logs for a moment, just compare X/A > X/B which denominator has to be larger?

10 months ago
Vocaloid:

let's try substituting numbers for A, and B X/3 ___ X/5 is X/3 bigger or is X/5 bigger?

10 months ago
kaylak:

3

10 months ago
Vocaloid:

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

10 months ago
Vocaloid:

so, with that in mind, X/A > X/B is A bigger or is B bigger?

10 months ago
kaylak:

a

10 months ago
Vocaloid:

think about our example from earlier

10 months ago
Vocaloid:

the smaller the denominator, the bigger the quotient

10 months ago
Vocaloid:

the bigger quotient must have the smaller denominator

10 months ago
kaylak:

10 months ago
Vocaloid:

no

10 months ago
Vocaloid:

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

10 months ago
Vocaloid:

given: X/A > X/B we are trying to see whether A is bigger or B is bigger

10 months ago
Vocaloid:

the ~bigger~ quotient has the ~smaller~ denominator

10 months ago
kaylak:

ok so b

10 months ago
Vocaloid:

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

10 months ago
kaylak:

10 months ago
Vocaloid:

log(x)/log(a) > log(x)/log(b) which is bigger? log(a) or log(b)?

10 months ago
kaylak:

a because of this> sign

10 months ago
Vocaloid:

please refer to our earlier logic

10 months ago
Vocaloid:

the bigger quotient has the smaller denominator

10 months ago
kaylak:

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

10 months ago
Vocaloid:

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

10 months ago
kaylak:

like i said a?

10 months ago
Vocaloid:

10 months ago
kaylak:

d

10 months ago
Vocaloid:

we have stated that b > a which answer choice states that b is greater than a?

10 months ago
kaylak:

< means less than so b or c is it b

10 months ago
Vocaloid:

good b

10 months ago
Vocaloid:

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

10 months ago
Vocaloid:

the + 4 is a vertical translation upwards by 4

10 months ago
kaylak:

so b and e

10 months ago
Vocaloid:

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

10 months ago
kaylak:

@Vocaloid

10 months ago
Vocaloid:

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

10 months ago
Vocaloid:

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

10 months ago
kaylak:

so would down be right then?

10 months ago
Vocaloid:

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

10 months ago
kaylak:

the graph doesn't move left

10 months ago
Vocaloid:

that's correct

10 months ago
Vocaloid:

and the vertical stretch is 2 not 1/2

10 months ago
kaylak:

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

10 months ago
Vocaloid:

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

10 months ago
Vocaloid:

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

10 months ago
kaylak:

ok

10 months ago