Suppose a, b, c are positive integers such th | vedclass

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Question

(c)

We have,

$2^a+4^b+8^c=328$

$\Rightarrow 2^a\left(1+2^{2 b-c}+2^{3 c-a}ight)=2^3 	imes 41$

$	herefore \quad a=3$

$\Rightarrow \q

Vedclass · Accepted Answer

$\frac{17}{24}$

Vedclass · Answer

(c)

We have,

$2^a+4^b+8^c=328$

$\Rightarrow 2^a\left(1+2^{2 b-c}+2^{3 c-a}ight)=2^3 	imes 41$

$	herefore \quad a=3$

$\Rightarrow \quad 2^{2 b-3}+2^{3 c-3}=40$

$\Rightarrow \quad 2^{2 b-3}+2^{3 c-3}=2^3 \cdot 5$

$\Rightarrow \quad 3 c-3=3 \Rightarrow c=2, b=4$

$\frac{a+2 b+3 c-3+8+6}{a b c}=\frac{17}{24}$

Suppose $a, b, c$ are positive integers such that $2^a+4^b+8^c=328$. Then, $\frac{a+2 b+3 c}{a b c}$ is equal to

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