Answer FAST - /3(log N to the base 3) + 3(log M to the base 3) = 1+(log 5 to - Maths - Number Systems

Question

Answer FAST - /3(log N to the base 3) + 3(log M to the base 3) =
1+(log 5 to the base 0 008) Find the relation between M and N

Ishwarmani · Accepted Answer

Dear
Student,
Please find
below the solution to the asked query:

We have,3log3N+3log3M=1+log0 0085⇒3log3N+log3M=1+log0
235⇒3log3NM=1+13log155⇒3log3NM=1+13log5-15⇒3log3NM=1-13log55⇒3log3NM=1-13⇒3log3NM=23⇒log3NM=29⇒NM=329⇒NM9=32∴ N9M9=9, is the required relation

Regards

Answer FAST - /3(log N to the base 3) + 3(log M to the base 3) = 1+(log 5 to the base 0.008) . Find the relation between M and N.