Audrae_World
Use properties of logarithms to expand the loarithmic expressions as much as possile.
log_4 72
1) 7log4 4
2) 4log4 7
3) 4log4 7
4) 16log 7



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saifoo.khan
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72?

Audrae_World
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7^2

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

saifoo.khan
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are the options you wrote correct? @Audrae_World

Audrae_World
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Yes, that's what my book says

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

Eyad
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Its expand not solve @saifoo.khan

saifoo.khan
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Yes! im stuck. :/

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

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

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

Audrae_World
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Yes

Calcmathlete
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Oh. I got it. Hold on.

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

Calcmathlete
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Wait. Darn it...

Eyad
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LOL @Calcmathlete :whats that !??

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