if log6=m and log 5=n, write 7.2 as an expression in m and n

Answer is 2m-n

Please help me!!

2 answers

7.2=36/5
36=6*6

log(a+b=log(a)+log(b)

log(36)=log(6)+log(6)=2*log(6)

log(a/b)=log(a)-log(b)

log(36/5)=2*log(6)-log(5)

log(6)=m log(5)=n

log(36/5)=log(7.2)=2m-n
Third row have typefeler

Correct formula is:
log(a+b)=log(a)+log(b)