Question

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anyone know thgis

Answer 1

@Vocaloid

Answer 2

can you give me something i don't want to pay for a tutor

Answer 3

try graphing them and then use the graph to determine where the functions are equal, where f>g and where g>f

Answer 4

i already do for mcro

Answer 5

help?

Answer 6

again, try using a website to create a graph of each function and follow my suggested instructions

Answer 7

1x f is larger

Answer 8

http://www.wolframalpha.com/input/?i=log7(x)+vs+log4(x)

Answer 9

i'm calculating lol

Answer 10

am i correct though

Answer 11

i just can't figure out the = one

Answer 12

there are regions of the graph where f is bigger, regions of the graph where g is bigger, and one x-value where they are equal

Answer 13

hint: log(1) = 0

Answer 14

so there is more than one value for f>g

Answer 15

the region should be expressed in interval notation

Answer 16

so i would find the interval of f g etc.?

Answer 17

1. find the interval of x where f > g
2. find the interval of x where g > f
3. find the x-value where f = g

three tasks

Answer 18

it won't solve in mathway how would i do it on my own

Answer 19

this one is actually pretty difficult to solve by hand

Answer 20

[just consider the values where x > 0 idk why both sides are graphed]

Answer 21

blue is f and purple is g

Answer 22

how's bout a Base-Shift, Voc, like "Metamorphmagus" but different, maybe "Logmetamorphmagus"

So:

\(f = log_7 x = \dfrac{log_n x}{log_n 7} \)

\(g = log_4 x = \dfrac{log_n x}{log_n 4} \)

\(f = g \implies \dfrac{log_n x}{log_n 7} = \dfrac{log_n x}{log_n 4}\)

only the null solution works there for equality

that's a start .... and highly highly recommend Desmos for scoping stuff out if you are struggling to see shapes.

https://www.desmos.com/calculator/zijf2ff9su

for which one is bigger, it should be obvious to the right of the null solution and in fact to the left too......as it's all now going mental on that side

but the graphing thing .....

Answer 23

thanks silly, I couldn't remember for the life of me how to do that ^^

Answer 24

it appears equal at -2

Answer 25

remember we are only considering the positive x values

Answer 26

where do the purple and blue lines intersect?

Answer 27

on the x-axis that is?

Answer 28

at 1 hey i was right the first time

Answer 29

good that's your x value for f = g

Answer 30

it appears that 2 is g

Answer 31

we are looking for a range of x values where g > f

your answer should be something like "g > f for x values from ___ to ____"

Answer 32

so -2 to 2

Answer 33

but blue isn't bigger anywhere on the graph?

Answer 34

we are only considering positive x values

Answer 35

examine the graph carefully

Answer 36

blue is larger at 0.5

Answer 37

red 1.5 to 2 ?

Answer 38

getting closer but not quite

Answer 39

remember the graph starts at x = 0 and extends to x = infinity

Answer 40

x = 1 should be the "cutoff" point where purple starts to be greater than blue

Answer 41

oh so 1.5 to infinity

Answer 42

?

Answer 43

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
x = 1 should be the "cutoff" point where purple starts to be greater than blue
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 44

so 1 to infinity

Answer 45

good

Answer 46

for both or just g

Answer 47

what is f

Answer 48

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
blue is f and purple is g
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 49

but are both 1 to infinity

Answer 50

we have determined that g > f from 1 to infinity
now determine where f > g.

Answer 51

do we still think positive or no

Answer 52

yes.

Answer 53

0.5 to inifinity?

Answer 54

am i right

Answer 55

fill in the blanks: "f > g from x = __ to x = __"

Answer 56

so 0 and 1

Answer 57

good

Answer 58

ok

Answer 59

thank you

Answer 60

now put everything together to get your final answer

Answer 61

so basically just explain

Answer 62

yes

Answer 63

omg thank you

Answer 64

made a 100 on multiple chocie