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Mathematics 14 Online
OpenStudy (anonymous):

Neeed help..!!

OpenStudy (anonymous):

OpenStudy (anonymous):

fill in the blank \[2^{blank}=64\]

OpenStudy (anonymous):

6

OpenStudy (anonymous):

got the first one!

OpenStudy (anonymous):

\[64^{blank}=2\] this one is trickier

OpenStudy (anonymous):

yeaa... ummmm

OpenStudy (anonymous):

hint, how do you write "sixth root" as an exponent? that is how you you write \[\sqrt[6]{64}=2\] using exponential notation?

OpenStudy (anonymous):

1/6

OpenStudy (anonymous):

ok two down!

OpenStudy (anonymous):

:]

OpenStudy (anonymous):

\[81^{blank}=\frac{1}{3}\] another tricky one

OpenStudy (anonymous):

hint: first take the fourth root, then take the reciprocal

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

81^1/4

OpenStudy (anonymous):

3=1/3

OpenStudy (anonymous):

that will get you from 81 to 3 to get to \(\frac{1}{3}\) write \[81^{-\frac{1}{4}}=\frac{1}{3}\]so answer to third one is \[\log_{81}(\frac{1}{3})=-\frac{1}{4}\]

OpenStudy (anonymous):

then negative exponent means take the reciprocal

OpenStudy (anonymous):

ohh okay got it!!

OpenStudy (anonymous):

good because you are going to need it for the next one too!

OpenStudy (anonymous):

yea im trying!

OpenStudy (anonymous):

\[(\frac{1}{3})^{blank}=27\]

OpenStudy (anonymous):

flip it, then cube it

OpenStudy (anonymous):

-3

OpenStudy (anonymous):

ok! got it! one more to go

OpenStudy (anonymous):

its hard..!

OpenStudy (anonymous):

maybe better to rewrite as \[\log_2(\sqrt{2})-\log_2(4)\] the second one is easy

OpenStudy (anonymous):

ohh yea division rule..

OpenStudy (anonymous):

yea its 2

OpenStudy (anonymous):

ohh the first one is 2^(1/2)

OpenStudy (anonymous):

so 2^(1/2)-2

OpenStudy (anonymous):

last one??

OpenStudy (apoorvk):

This is a perfect example of a tutoring!! All hail @satellite73 !!

OpenStudy (anonymous):

Agree @apoorvk. Great work @satellite73 !!

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