If 2x+y=6y and 3x−1=2y+1 then the value of (log3−log2)(x−y) is
1
log23−log32
log (3/2)
none of these
Taking log, we have
(x+y)log2=y(log2+log3)or xlog2=ylog3∴xlog3=ylog2=x−ylog3−log2=λ (say)---i also (x−1)log3=(y+1)log2or xlog3−ylog2=log3+log2
Using Eq. (i), we get λ(log3)2−(log2)2=log3+log2 λ=1log3−log2∴ 1λ=log3−log2=log32