If ln ( 3 a + b ) = 2 l n a + l n b , find a / b + b / a .

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MathematicsAlgebra-MixedAlgebra-MixedMedium3 minQB

MathematicsMediuminteger

If $ln (\frac{a + b}{3}) = \frac{l n a + l n b}{2}$ , find $a / b + b / a$ .

Answer:

Solution:

Exponentiating gives $(a + b) /3 = ab$ . Squaring and dividing by $ab$ gives $a / b + b / a = 7$ .

Stream:JEESubject:MathematicsTopic:Algebra-MixedSubtopic:Algebra-Mixed

⏱ 3mℹ️ Source: QB

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