Question

evaluate 3log3^21

Answer 1

confused again here. it is
\[\log_3(21)\] or
\[\log(3^{21})\]

Answer 2

lol

Answer 3

nonsense

Answer 4

utter bologna

Answer 5

sorry, 3 log3 over 2.1

Answer 6

\[3\log(\frac{3}{2.1})?\]

Answer 7

lol

Answer 8

@myininaya,
\[3 \log(3)^{21}\neq3(21)\log(3)\]

Answer 9

\[3\log_{3} 2.1\]

Answer 10

ok so now it is either a calculator exercise

Answer 11

what satellite?

Answer 12

haha im trying to learn this equation editor

Answer 13

\[\log_b(x^r)=rlog_b(x)\]

Answer 14

well you do not have a chance in hell of finding
\[\log_3(2.1)\] without the change of base formula and a calculator.

Answer 15

yes myininaya you are correct NOW

Answer 16

i was correct earlier

Answer 17

3^21=(3)^21

Answer 18

and i'm still correct lol

Answer 19

so it is true that
\[3 \log(3^{21})=3(21)\log(3)\]
but this
\[3 \log(3)^{21}=3(21)\log(3)\] is bullhokey

Answer 20

bullhockey as well

Answer 21

so what if i didn't put the 21 inside
(3)^21=3^21

Answer 22

well that is like saying
\[\sin(x^3)=\sin(x)^3\]

Answer 23

usually you would write the first way
but they are the same

Answer 24

makes a huge difference what is inside and what is out!

Answer 25

\[(x^3)=(x)^3\]

Answer 26

no no no no they are NOT the same

Answer 27

\[\sin^3(x) \neq \sin(x^3)\]

Answer 28

\[\log(3)^4\] means take the log of 3, raise the result to the power of 4

Answer 29

no it doesn't

Answer 30

\[(\log(3))^4\]

Answer 31

\[\log(3^4)\] means raise 3 to the power of 4, then take the log

Answer 32

\[(\log(3))^4 \neq \log(3)^4\]

Answer 33

argh log is a function.
\[\log(x)=f(x)\]

Answer 34

clearly the 4 in only on the three and not the whole thing

Answer 35

\[\log(x^4)\neq f(x)^4\]

Answer 36

\[\log(x^4)=f(x^4)\]

Answer 37

\[if f(x)=\log(x)\]

Answer 38

clearly my foot. same reason you cannot be lazy and write
\[\sin x\]

Answer 39

as soon as you put parentheses around the argument, you mean take the function of that thing

Answer 40

lol

Answer 41

and i said it! nyah nyah

Answer 42

what else can we fight about

Answer 43

hmmm

Answer 44

\[\sin x\] vs
\[\sin(x)\]?

Answer 45

what is even worse is
\[\ln x\]

Answer 46

and satellite i know what you mean
i don't like it when my students write stuff like sin(x)^4
it does make no sense
i was trying to give you a hard time

Answer 47

i know and i was trying to give you one back

Answer 48

you are evil like me :)

Answer 49

but in fact the convention
\[\sin^n(x)\] is actually very confusing to students

Answer 50

sometimes i have to write it as
\[[\sin(x)]^n\]

Answer 51

continually remind them that it means
\[(\sin(x))^n\]

Answer 52

was there a problem here? i forget...

Answer 53

i don't like all your parenthesis

Answer 54

why don't you change it up a bit and use some bracketts

Answer 55

oh it was
\[3\log_3(2.1)\]

Answer 56

are you sure that was the problem?

Answer 57

which is the same as
\[\frac{3\ln(2.1)}{\ln(3)}\] if you need the num ber

Answer 58

no it wasn't clear probably because some idiot math teacher didn't write it correctly to begin with , like the one that said
\[\log(.01)^{10}\]

Answer 59

which is either 1024 or -20 depending on how you interpret it

Answer 60

let me guess. they "simplified" something