Question

true or false?
the domain of F(x)= log(small b)x is the set of all positive real numbers.

Answer 1

domain of log x is x > 0
so false

Answer 2

& this one:
what is the x-intercept of the function below?
F(x)=log(small 7)(x-1)

Answer 3

I got (2,0)

Answer 4

x intercept of log(x) is (1, 0)
log(x-1) is translated right side by 1 unit
so, its x-intercept wud be (2, 0)

Answer 5

you're right, good work :)

Answer 6

thanks. ok & this one:
F(x)=log(small 7)x
What is the domain?

Answer 7

log x domain = x >0

Answer 8

log7x u mean right?

Answer 9

base doesnt matter, it can be any positive number
log(small b)x domain is always x >0

Answer 10

oh ok

Answer 11

& this:
F(x)=log(small0.725) the domain and range,

Answer 12

well I guess we already know that domain is x>0

Answer 13

but range I need help w/

Answer 14

y=log(small b)x
domain : x > 0
range : all real numbers

Answer 15

or is domain not x>0

Answer 16

ok nvm

Answer 17

b > 0, you need to remember the logx curve, and try to visualize how other graphs form, thats all

Answer 18

I thought that was only if b>1 not b>0 ??

Answer 19

let me think a bit

Answer 20

lets consider
\(y = a^x\)

its range is the domain of \(y = log_a x\)

Answer 21

ok

Answer 22

& what abt this:
true or false.
the range of F(x)=log(smallb)x is the set of all positive real numbers.

Answer 23

sorry hold on

Answer 24

lets analyze the case 0< a < 1

Answer 25

for this problem wouldn't it be all real numbers not just positive real numbers??

Answer 26

yes, so its false

Answer 27

ok

Answer 28

then this:
what is the domain?
F(x)= 2+log(small 0.6)x

Answer 29

it would be x>0 correct?

Answer 30

no translation in x side, oly a shrink in hte graph
so, domain wont change from the regular x > 0

Answer 31

k

Answer 32

then:
what is the x-intercept of F(x)=log(small 0.25)x

Answer 33

I got 1, something

Answer 34

I think. (1,0)/ or it could be 1, something else

Answer 35

x-intercept is a point on x
so it will be of form (k, 0)

Answer 36

ok so then (1,0

Answer 37

(1, 0) = \(\checkmark\)

Answer 38

ok and then:
true or false.
The function F(x)= log(small3)x is decreasing

Answer 39

remember this :-
\(y = \log_b x\)

if b > 1, function is increasing
i b is between 0 and 1, function is decreasing

Answer 40

*if

Answer 41

so its increasing
wow idk why I just asked u that. its like @ the very bottom of my notes

Answer 42

good u have a notes :)

Answer 43

yea

Answer 44

one thing about ur original FIRST question

Answer 45

true or false?
the domain of F(x)= log(small b)x is the set of all positive real numbers.

Answer 46

thats ur first question, right ?

Answer 47

yea why?

Answer 48

domain of log x is x > 0
so false

Answer 49

I think u said that already

Answer 50

i had a typo there, i meant to type below :-

domain of log x is x > 0
so true

Answer 51

is the x- intercept of F(x)= log(small 2)x (1,0) ??

Answer 52

wait r u serious????????????

Answer 53

noooooo I missed that one!!!!!

Answer 54

yes ! x > 0 means, its all positive numbers. so its true

Answer 55

u doing flvs ?

Answer 56

:( :(

Answer 57

giving exam is it ?

Answer 58

no, it was a mini 3 question quiz w/ notes but it was stage 2. where u can go back and change things :)

Answer 59

so I missed it :(

Answer 60

ohk sorry about that

Answer 61

so is the answer to my latest question correct? :( :( ○○○○

Answer 62

it's ok..

Answer 63

correct

Answer 64

ok

Answer 65

oh great

Answer 66

Im entering this new unit..... and I think it's proofs :(

Answer 67

this is algebra or geometry ?

Answer 68

algebra ii

Answer 69

sorry I think I said proofs instead of "proof" the term

Answer 70

:p

Answer 71

okie :) good luck !!!

Answer 72

thanks so much!!! :)

Answer 73

np :)