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  4. If log 2 N=4+b1 and log 3 N=2+b2 where b1, b2 ∈[0,1), then largest integral value of N is

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Q. If $\log _2 N=4+b_1$ and $\log _3 N=2+b_2$ where $b_1, b_2 \in[0,1)$, then largest integral value of $N$ is

Continuity and Differentiability

Solution:

$2^4 \leq N <2^5$ and $3^2 \leq N <3^3$
$\therefore$ common value is $16 \leq N <27$
$\therefore$ largest integral value of $N =26$.