Home
Class 12
MATHS
The number log(2) 7 is...

The number `log_(2) 7` is

A

an integer

B

a rational number

C

an irrational number

D

a prime number

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (1) (True and False)|11 Videos

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (1) (Fill in the blanks)|9 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

Similar Questions

Explore conceptually related problems

Prove that number log_(2) 7 is an irrational number.

Prove that number log _(2)7 is an irrational number.

The number N=(1+2log_(3)2)/((1+log_(3)2)^(2))+log_(6)^(2)2 when simplified reduces to: a prime number an irrational number a real which is less than log_(3)pi a real which is greater than log _(7)6

The value of x for which the numbers log_3 2, log_3(2^x-5) and log_3(2^x- 7/2) are in A.P.=

The number of solutions of the equation log_((2x + 3)) ( 6x^(2) + 23 x + 21) + log_((3x + 7)) (4x^(2) + 12 x + 9) = 4 is

Which of the following numbers are positive/negative? log_(2)7( ii) log_(0.2)3 (iii) log_(1/3)((1)/(5))log_(4)3(v)log_(2)(log_(2)9)

Show that log_(2)(7) is an irrational number.

The number of roots of the equation 7.x^(log_(5)2)+2^(log_(5)x)=64

The number of real solution of the equation log_(10)(7x-9)^(2)+log_(10)(3x-4)^(2)=2 is

The number of values of x satisfying the equation log_(2)(9^(x-1)+7)=2+log_(2)(3^(x-1)+1) is :