Question

Evaluate. log3
Choose one answer.
a. 27
b. 4
c. -27
d. -4

Answer 1

just log3?

Answer 2

or is there something more?

Answer 3

there is 1/81 too

Answer 4

so the full problem is \[\Large \log_{3}\left(\frac{1}{81}\right)\]

Answer 5

correct

Answer 6

d

Answer 7

\[\Large \log_{3}\left(\frac{1}{81}\right)\]


\[\Large \log_{3}\left(\frac{1}{3^4}\right)\]


\[\Large \log_{3}\left(3^{-4}\right)\]


\[\Large -4\log_{3}\left(3\right)\]


\[\Large -4\left(1\right)\]


\[\Large -4\]


So \[\Large \log_{3}\left(\frac{1}{81}\right)=-4\]


Which makes the answer choice D

Answer 8

Thanks!

Answer 9

you're welcome

Answer 10

if there is one that says log x=4 how would you solve that

Answer 11

If it doesn't have a base shown, then it's by default, base 10

Answer 12

would it just be 4 the options are
a. x = 4
b. x = 40
c. x = 1,000
d. x = 10,000

Answer 13

\[\Large \log(x) = 4\]


\[\Large \log_{10}(x) = 4\]


\[\Large x = 10^{4}\]


\[\Large x = 10,000\]


Note: in the third step, I'm converting to exponential form using the idea that \[\Large \log_{b}(x) = y\] converts to \[\Large x = b^y\]

Answer 14

so the answer is 10,000

Answer 15

yes

Answer 16

thanks!

Answer 17

yw