Question

evaluate the expression

log3(1/27)

Answer 1

\[\log_{3}(\frac{ 1 }{ 27 }) \]

Answer 2

help please!

Answer 3

\[\large \log_{3} \frac{1}{27}=x\]
Then by the rules of logs:
\[\large 3^{x}=\frac{1}{27}=\frac{1}{3^{3}}=3^{-3}\]
Can you now see the value of x.

Answer 4

\[\large 3^{x}=3^{-3}\]
So what must the value of x be?

Answer 5

For example
\[\large 10^{x}=10^{7}\]
therefore x = 7.

Answer 6

So if
\[\large 3^{x}=3^{-3}\]
what will be the value of x?

Answer 7

@radicalgal Are you there?

Answer 8

yes sorry.. so then the -3 is the answer

Answer 9

Correct.

Answer 10

thank you!

Answer 11

You're welcome :)