If a 1-2 a 2-3 a 3-1- then what is the minimum value of 2 a 1-4 a 2-8 a 3-A- 41 - 3B- 3 - 21 - 3C- 21 - 3 D- 3 - 41 - 3

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If a 1+2 a 2+...

Question

If $a_{1} + 2 a_{2} + 3 a_{3} = 1$ , then what is the minimum value of $2^{a 1} + 4^{a 2} + 8^{a 3}$ ?

4^{1 / 3}

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3 * 2^{1 / 3}

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2^{1 / 3}

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3 * 4^{1 / 3}

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Solution

The correct option is B $3 * 2^{1 / 3}$
Option (b) is the correct answer. Check the video for the approach.

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Similar questions

If $a_{1} + 2 a_{2} + 3 a_{3} = 1$ , where $a_{1}, a_{2} & a_{3}$ are all positive numbers; then what is the minimum value of $2^{a 1} + 4^{a 2} + 8^{a 3}$ ?

Q. Show that

(1 + 3^{- 1}) (1 + 3^{- 2}) (1 + 3^{- 4}) (1 + 3^{- 8}) . . . (1 + 3^{- 2^{n}}) = \frac{3}{2} (1 - 3^{- 2^{n} + 1})

Q. Find the value of:

4^{\frac{1}{3}} \times [2^{\frac{1}{3}} \times 3^{\frac{1}{2}}] \div 9^{\frac{1}{4}}

Q. The value of

2 \frac{1}{2} \times 10 - 4 \frac{1}{3} \times 10

Q. Let

|_{1} | = 3, |_{2} | = 5

and

|_{1} +_{2} | = 5

. The value of

(2_{1} + 3_{2}) . (3_{1} - 2_{2})

is,

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If a1+2a2+3a3=1, then what is the minimum value of 2a1+4a2+8a3?

The correct option is B 3∗21/3Option (b) is the correct answer. Check the video for the approach.

If $a_{1} + 2 a_{2} + 3 a_{3} = 1$ , then what is the minimum value of $2^{a 1} + 4^{a 2} + 8^{a 3}$ ?

The correct option is B $3 * 2^{1 / 3}$
Option (b) is the correct answer. Check the video for the approach.