Question

4^1/2log5(2) - 5^1/log7 (5)
5^log4 (3) -3^log4 (5)

Answer 1

$1)4^{\dfrac{1}{2\log_{5} 2} } -5^{\dfrac{1}{\log_{7}5 }} =\Big(4^{\dfrac{1}{2}}\Big)^{\log_{2}5 }-5^{\log_{5}7 }=2^{\log_{2} 5}-7=5-7=\boxed{-2} \\\\\\2)5^{\log_{4}3 }-3^{\log_{4}5 }=3^{\log_{4}5 } -3^{\log_{4}5 } =\boxed0$