Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Solve the equations log 100 l x + y l = 1/2 , log 10 y – log 10 |x| = log 100 4 for x and y
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
x = 10/3, y = 20/3 & x = – 10, y = 20
Sol. log 100 |x + y| = 
|x + y| = 10
this gives x + y = 10 .....(i)
or x + y = – 10 .....(ii)
log 10 y – log 10 |x| = log 100 4 ⇒ 
= 2
for x < 0, we get y = – 2x .....(ii)
for x > 0, we get y = 2x .....(iv)
on solving (i) and (iii), we get x = – 10, y = 20 and
on solving (i) and (iv), we get x = 
, y = 
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