## anonymous one year ago evaluate the expression log3(1/27)

1. anonymous

$\log_{3}(\frac{ 1 }{ 27 })$

2. anonymous

3. kropot72

$\large \log_{3} \frac{1}{27}=x$ 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.

4. kropot72

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

5. kropot72

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

6. kropot72

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

7. kropot72

8. anonymous

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

9. kropot72

Correct.

10. anonymous

thank you!

11. kropot72

You're welcome :)