Question

If

Answer 1

\[\log_{a} 2=x and \log_{a} 5=y \]

Answer 2

Find in terms of x and y and expression for
\[\log_{2} 5 and \log_{a} 20\]

Answer 3

by the "change of base" formula,
\[\log_2(5)=\frac{\log_a(5)}{\log_a(2)}=\frac{x}{y}\]\]

Answer 4

and since
\[20=2^2\times 5\]
\[\log_a(20)=\log_a(2^2\times 5)=\log_a(2^2)+\log_a(5)=2\log_a(2)+\log_a(5)=2x+y\]

Answer 5

for the first one. \[\log_{a} 5\] is on top and that = y was that a mistype of how it's suppose to be?