Question

11. What is the value of log81 3?
a. 3
b.¼
c. 4
d. 1/3

Answer 1

other way around
\[\log_a(b)=c \ \implies \ a^c=b\]
so you have
\[81^? = 3\]

Answer 2

4

Answer 3

just think of it like this:
3 to the what power is 81?
3^4 = 81 of course
so log81 3 = 4. Option C

Answer 4

Follow zzr0ck3r 's first post. Without the subscript, the problem is confusing.
But the actual problem looks like this:
\[\log_{81} 3 = ?\]

What power should 81 be raised to in order to get 3.

Hint: The answer has to be less than 1

Answer 5

its not what power should 81 be raised to get 3. that's wrong. its what power should 3 be raised to in order to get 81!

Answer 6

The problem is \[\log_{81} 3 = ?\]
So what power should 81 be raised to in order to get 3.

Answer 7

@music101 you are wrong
what you are talking about it
\[\log_3(81)=?\]this asked for\[\log_{81}(3) = ?\]

Answer 8

oh never mind then. i thought the question was the 1st one shown. if it was the 1st one, then the answer would be 4!

Answer 9

but since u say that its log81 3 the answer would be 1/4 do u get why it's 1/4? @mikeiordan25

Answer 10

@music101 why is it 1/4?