Question

please help. Studying for my exam, thank you. log b 5 = 1.1610 log b 2 = .5000 Find each of the following.

(a)log(base b)125


(b) log(base b)3√25

Answer 1

for a i got 3log (baseb) 5

Answer 2

1st one \[\log _{b} 5^3 = 3\log _{b} 5\]

the other appears to be

\[\log _{b} \sqrt[3]{5} = \log _{b} 5^{\frac{1}{3}} = \frac{1}{3} \log _{b} 5\]

Answer 3

thanks for your help!

Answer 4

hope it helps