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Logarithm question

2023 · 10 Apr · Shift 1 · Q46

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JEE Main
Mathematics
Logarithm
2023 · 10 Apr · Shift 1 · Q46

Logarithm question

2023 · 10 Apr · Shift 1 · Q46

JEE MainMathematicsLogarithmNumerical+4 / −1

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

\underline{\hspace{2cm}}

.

Numerical answer

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