JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

Let

a, b \in R^{+}

, such that

\log _{27} a+\log _9 b=\frac{7}{2}

and

\log _{27} b+\log _9 a=\frac{2}{3}

, then

a b

is equal to:

View answer and explanation

Correct option: B

243

Option B (243) is correct because by converting the logarithms to a common base and solving the system of equations, we find that

ab = 243

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A=\{1,2,3\}, B=\{3,4\}, C=\{4,5,6\}

{A} \cup({B} \cap {C})

A-(B \cap C)

(B \cup C)-A

a,b,c

a,x,b

b,y,c

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

P(x)=1-x+x^2-x^3+\ldots+x^{2012}

y

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y=x-2

\sum\limits_{{i=0}}^{2012} a_i

\log \left(\frac{5 c}{a}\right), \log \left(\frac{3 b}{5 c}\right)

\log \left(\frac{a}{3 b}\right)

A P

a, b

G P

a, b, c

\frac{3}{4}