wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
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

Open in App
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


flag
Suggest Corrections
thumbs-up
4
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Laws of Logarithm with Use
MATHEMATICS
Watch in App
explore_more_icon
Explore more
Property 4
Standard IX Mathematics
Join BYJU'S Learning Program
book_image
AI Tutor
book_image
Textbooks
book_image
Question Papers
book_image
Install app
CrossIcon