JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

\log _{10} 2, \log _{10}\left(2^x+1\right)

and

\log _{10}\left(2^x+3\right)

are in A.P., then

View answer and explanation

Correct option: D

x=\frac{1}{2} \log _2 5

Option D (

x=\frac{{1}}{{2}} \log _2 5

) is correct. By using the properties of arithmetic progressions and logarithms, we can solve for x and get the result.

More Questions from SEQUENCE OF SERIES

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

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

A-(B \cap C)

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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

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

A P

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G P

a, b, c

\frac{3}{4}