Limit, Continuity and Differentiability: JEE Main 2023 Mathematics question

JEE Main 2023 · 10 Apr, Morning shift · Q41

JEE Main 202310 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let a, b, c be three distinct positive real numbers such that

{(2a)^{{{\log }_e}a}} = {(bc)^{{{\log }_e}b}}

and

{b^{{{\log }_e}2}} = {a^{{{\log }_e}c}}

. Then, 6a + 5bc is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 · 10 Apr, Morning shift · Q41

JEE Main 202310 Apr, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

Let a, b, c be three distinct positive real numbers such that

{(2a)^{{{\log }_e}a}} = {(bc)^{{{\log }_e}b}}

and

{b^{{{\log }_e}2}} = {a^{{{\log }_e}c}}

. Then, 6a + 5bc is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

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