JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1

Let

a, b

and

c

and be non-negative real numbers satisfying

a+b+c=9.

If the maximum value of the expression

a^2 b^3 c^4

can be expressed as

2^x3^y,

where

x

and

y

are natural numbers, then the value of

{\log _{10}}\left( {{x^y}} \right),

is:

View answer and explanation

Correct option: B

Option B, 3, is correct because the maximum value of the expression is

2^{10}3^3

, leading to x = 10 and y = 3, and thus log10(10³) = 3.

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a,x,b

b,y,c

{x^2},{b^2},{y^2}

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y=x-2

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\frac{3}{4}