You can put this solution on YOUR website! ( 1+ log base n of m) log base nm of x = log base n of x.
1+logn(m)*lognm(x)
convert to base n
1+logn(m)*log(x)/logn(nm)
=1+logn(m)*logn(x)/logn(n)+logn(m)
log(n)=1(log of base=1)
=1+logn(m)*logn(x)/1+logn(m)
=logn(x)