if x² + y² = 22xy then prove that 2 log ( x + y ) 3 log 2 + log 3 + log x + log y
Answers
Answered by
0
Answer:
search-icon-header
Search for questions & chapters
search-icon-image
Question
Bookmark
If x
2
+y
2
=25xy, then prove that 2log(x+y)=3log3+logx+logy
Medium
Solution
verified
Verified by Toppr
Given
x
2
+y
2
=25xy....(1)
L.H.S=2log(x+y)
=log(x+y)
2
=log(x
2
+y
2
+2xy)
=log(25xy+2xy) [ from (1)]
=log(27xy)
=log(3
3
xy)
=log3
3
+logx+logy
=3log3+logx+logy
=R.H.S
Similar questions