## 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

1. anonymous

i got $\log_{8} 729$ is that correct?

2. anonymous

hi

3. anonymous

use 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

4. anonymous

Let $$k = log_2{9} \implies 2^k = 9$$ $\implies log_8 (2^k) = log_8 9$ $\implies k\ log_8 2 = log_8 9$ $\implies k = \frac{log_8 9}{log_8 2}$ $\implies log_2 9 = \frac{log_8 9}{log_8 2}$