Question
Quantitative Aptitude Question on Logarithms
If y is a negative number such that 2y2log35= 5log23, then y equals
A
log2(31)
B
−log(31)
C
log(51)
D
−log(51)
Answer
log2(31)
Explanation
Solution
The correct option is (A): log2(31)
2y2log35=log23
(2log35)y2=5log23
(5log32)y2=5log23
5y2log32=5log23
⇒y2log32=log23
y2=(log23)(log23)
(is negative)
y=log23−1 = log231
,