Elitmus Exam Numerical Ability Log and Antilog

if z=(log(base a)(log(base b)(a)))/(log(base b)(log(base a)(b)))

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m4 maths question solution of chotu scored 80% marks on an average in 5 subjects his individual marks lies between 50 to 100.. out of 100.all terms have 5 subjects. and all subjects have wqual weightage .he does not get tge same marks in any 2 subjects across terms if he scored 60 marks in 1 subject .he will not get 60 marks fie the same sybject .how many max no of term cab his average marks remains exactly 80% if z=(log(base a)(log(base b)(a)))/(log(base b)(log(base a)(b)))
simplify z