Give set S={1,2,3,....} For xRy,logax>logay ⇒x>y As xRx,logax>logax is not valid. Hence, relation is not reflexive. For xRy,logax>logay⇒x>y yRx,logay>logax⇒y>x This is also not valid. Hence, relation is not symmetric also. For xRy,logax>logay⇒x>y For yRz,logay>logaz⇒y>z So, xRz,logax>logaz⇒x>z This is a valid relation. Hence, relation is only transitive.