Question

Use properties of logarithms to expand the loarithmic expressions as much as possile.
log_4 7-2
1) 7log4 4
2) 4log4 7
3) -4log4 7
4) -16log 7

Answer 1

7-2?

Answer 2

7-^2

Answer 3

\[\log_4 7^{-2} \to \log_4 (\frac{1}{49})\to \frac{\log \frac{1}{49}}{\log 4}\]

Answer 4

are the options you wrote correct? @Audrae_World

Answer 5

Yes, that's what my book says

Answer 6

Isn't it \[\log_{4} 1 - \log_{4} 7^{2}\]

Answer 7

Its expand not solve @saifoo.khan

Answer 8

Yes! im stuck. :/

Answer 9

@Audrae_World : Is it \[\log_{4} 7^2\]

Answer 10

That's the closest I've seen so far, but the one of answer choices says: 4log_4 7^2

Answer 11

Are you sure the problem is \[\log_{4} 7^{-2}\] ?

Answer 12

Yes

Answer 13

Oh. I got it. Hold on.

Answer 14

\[\log_{4}7^{-2} = -2(\log_{4}7) = -2(\log_{7}7/\log_{7}4) = -2(1/\log_{7}2^{2})\]
\[-2(\log_{7}2^{-2}) = -2 * -2(\log_{7}2) = 4\log_{7}2\]

Answer 15

Wait. Darn it...

Answer 16

LOL @Calcmathlete :whats that !??

Answer 17

lol. I got so close!!! But then I realized that it isn't one of the answers...