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anonymous
 5 years ago
can someone help me with this problem?
"use the change of base formula to evaluate each expression. Then convert it to a logarithm in base 8":
log(base2)9
anonymous
 5 years ago
can someone help me with this problem? "use the change of base formula to evaluate each expression. Then convert it to a logarithm in base 8": log(base2)9

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i got \[\log_{8} 729\] is that correct?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0use the formula log(base b)x=log(base a)x/log(base a)b log(base2)9=log(base8)9/log(base8)2, now you can still simplify this by dividing them

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Let \(k = log_2{9} \implies 2^k = 9\) \[ \implies log_8 (2^k) = log_8 9\] \[ \implies k\ log_8 2 = log_8 9\] \[ \implies k = \frac{log_8 9}{log_8 2}\] \[ \implies log_2 9 = \frac{log_8 9}{log_8 2}\]
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