Question

Given that log 6 base 3 is equal to M and log 5 base 6 is equal to N.express log 10 base 3 in terms of M and N

Answer 1

5 min , i'm solving

Answer 2

O RIGHT AM WAITING

Answer 3

M=log 6(3) means log 6 to base 3
N=log 5(6)
M=log2(3)+log3(3)
M=1+log2(3)
so log 2(3)=M-1
N=log5(6)
N=log5/log 6
N=(log 5/log 3)/(log 6/log 3)
N=log5(3)/M
so log 5(3)=MN
log10(3)=log 5(3)+log 2(3)
log 10(3)=MN+M-1