Quadratic EquationHard

Question

The number log₂ 7 is

Options

A.an integer

B.a rational number

C.an irrational number

D.a prime number

Solution

Let x = log₂ 7
⇒ 2^x = 7
Which is only possible for irrational number

Create a free account to view solution

View Solution Free

Topic: Quadratic Equation·Practice all Quadratic Equation questions

More Quadratic Equation Questions

If roots of the equations 2x2 − 3x + 5 = 0 and ax2 + bx + 2 = 0 are reciprocals of the roots of the other then (a,...The number of solutions of log4 (x - 1) = log2 (x - 3) is...The number of real solutions of the equation = 3√3 is -...If one root of equation Ax2 + Bx + C = 0 is i(a − b) then equals -...Let a ∈ R and let f : R → R be given by f(x) = x5 - 5x + a. Then...