Question

if log base x a= .578 and log base a y= 1.161 what is the value of log base x y?

Answer 1

this is
\[\log_x(a),\log_a(y),\log_x(y)\] right?

Answer 2

then by the "change of base formula" you get
\[\log_a(y)=\frac{\log_x(y)}{\log_x(a)}\] you know two out of the three numbers so can find the third