if ln3 logab3 = log1027 ln10 then find a relation bet a and b such that - Maths - Continuity and Differentiability

Question

if ln3 logab3 = log1027 ln10 then
find a relation bet a and b such that a not equals b

Aman Rajput · Accepted Answer

Dear Student

Your question can be rewritten as

ln3 
 logab3=log1027   ln10⇒ln3ln10
logab3=log1027⇒log103 
 logab3 = log1027Multiply and divide by 3 on left hand side and transfer 3 in numerator to log term⇒13log1033 
 logab3=log1033⇒logab3=3⇒logab3=logaa3By comparing a3=b3⇒a3-b3=0⇒(a-b)(a2+b2+ab)=0but since it is given that a≠bTherefore, the required relation is(a2+b2+ab)=0

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if ln3 .logab3 = log1027 .ln10 then find a relation bet a and b such that a not equals b

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