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Byju's Answer
Standard IX
Mathematics
Property 4
Express each ...
Question

Express each of the following in a form free from logarithm:

(i) 2 log x−log y=1

(ii) 2 log x+3 log y=log a

(iii) a log x−b log y=2 log 3

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Solution

(i)

c o n s i d e r space t h e space g i v e n space e q u a t i o n 2 log x minus log y equals 1 rightwards double arrow log x squared minus log y equals 1 rightwards double arrow log x squared over y equals log space 10 rightwards double arrow x squared over y equals 10 rightwards double arrow x squared equals 10 y

(ii)

c o n s i d e r space t h e space e q u a t i o n 2 log x plus 3 log y equals log a rightwards double arrow log x squared plus plus log y cubed equals log a rightwards double arrow log x squared y cubed equals log a rightwards double arrow x squared y cubed equals a

(iii)

c o n s i d e r space t h e space g i v e n space e q u a t i o n a log x minus b log y equals 2 log 3 rightwards double arrow log x to the power of a minus log y to the power of b equals log 3 squared rightwards double arrow log x to the power of a over y to the power of b equals log 9 rightwards double arrow x to the power of a over y to the power of b equals 9 rightwards double arrow x to the power of a equals 9 y to the power of b


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