Question

If log(mn) = 2 log m, then prove that m = n .

Answer 1

log(mn) = 2logm

log(mn) = log(m^2)

mn = m^2

n = m

HOPE THIS HELPS YOU

Answer 2

log mn=log m +log n

so log m+log n=2log m

log n=2logm-logm

logn=logm

hence n=m