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

Solve the following equations for x and y:
log100|x+y|=12,log10ylog10|x|=log1004

A
(x,y)=(103,203),(10,20)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(x,y)=(103,203),(10,20)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
(x,y)=(203,103),(10,20)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
(x,y)=(103,203),(20,10)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A (x,y)=(103,203),(10,20)
log100|x+y|=12=log10010
|x+y|=10 and |x+y|>0
log10ylog10|x|=log1004=log102
Here, y>0 and |x|>0
log10y|x|=log102
y=2|x|
Case 1: x>0
y>0
x+y=10 and y=2x, gives x=103,y=203

Case 2: x>y and x<0
x+y=10 and y=2x, gives x=10,y=20
(x,y)=(103,203) and (10,20)
Hence, option A.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon