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Basic of Logarithms
normal
Let $a , b , c$ be three distinct positive real numbers such that $(2 a)^{\log _{\varepsilon} a}=(b c)^{\log _e b}$ and $b^{\log _e 2}=a^{\log _e c}$. Then $6 a+5 b c$ is equal to $........$.
A
$6$
B
$4$
C
$3$
D
$8$
(JEE MAIN-2023)
Solution
BONUS
Standard 11
Mathematics