Question

log(10^5 x^3) = ?

Answer 1

@mbradar2

Answer 2

is it 5x^3?

Answer 3

depends is that \[\huge \log 10^{5x^3}\]
if so you're right

Answer 4

\(\log_{10}(5x^3) \) ?

Answer 5

lol

Answer 6

\[\large \log (10^{5x^3}) \implies 5x^3 \log (10) \implies 5x^3 (1) \implies 5x^3\]

Answer 7

\[\log{(10^5x^3)} \]

Answer 8

oh then you are wrong

Answer 9

how to solve that though?

Answer 10

\[\log(10^5 x^3) \implies \log 10^5 + \log x^3\]
do you see this?

Answer 11

the choices are 15x^3
15log(x)
5+3log(x)
15

Answer 12

yeah it's one of those

Answer 13

so do you see what i did?

Answer 14

what i cant understand

Answer 15

i know the property but idk how you'll come up with one of them

Answer 16

it's product law

\[\log (ab) \implies \log a + \log b\]

Answer 17

you come up witht hem through experience. you just see them

Answer 18

yah, but how will you get the answers though?

Answer 19

first of all do you get what i did? \[\log (10^5 x^3) \implies \log 10^5 + \log x^3\]

Answer 20

ohh so its 5+3log(x)

Answer 21

yup

Answer 22

now you saw it lol

Answer 23

thank you, whats the difference of the log base 10 ^5x^3 and log(10^5 x^3)

Answer 24

yeah thank you so much

Answer 25

is that just a space? or you failed to copy paste a symbol?

Answer 26

i have another question

Answer 27

just a space

Answer 28

then there's no difference..we just put spaces to depict that x^3 is not part of 5..for better visuals

Answer 29

ohhh see