Question

$frac{log_{5} 27}{ log_{2}3* log_{5}4 }$

Answer 1

log5(27)=log2(27):log2(5)=log2(3^3):log2(5)=3log2(3):log2(5)
log5(4)=log2(4):log2(5)=2:log2(5); log2(3)*log5(4)=2log2(3):log2(5)
(3log2(3):log2(5)):(2log2(3):log2(5))=(3log2(3)*log2(5)):(2log2(3)*log2(5))=3/2