Question

Help! Simplify: log(1/3) cubed root of 81
A. -4/3
B. 3/4
C. 4/3
D. 3

Answer 1

Should the expression in the question be written as follows?
\[\large \log_{3} \sqrt[3]{81}\]

Answer 2

I believe so

Answer 3

Oh wait im sorry, its log(1/3) cubed root of 81

Answer 4

The cube root of 81can be written as follows:
\[\large \sqrt[3]{81}=3\times \sqrt[3]{3}\]
Do you follow this step?

Answer 5

Yes

Answer 6

Would it be c?

Answer 7

So now we can write the expression as follows:
\[\large \log_{3} 3+\log_{3} 3^{\frac{1}{3}}=1+\frac{1}{3}\]

Answer 8

okay I follow

Answer 9

Good! So is choice c correct?

Answer 10

Yes

Answer 11

Your choice is correct.

Answer 12

Thank you!

Answer 13

You're welcome :)