Q. An integer from 300 through 780, inclusive is to be chosen at random. Find the probability that the number is chosen will have 1 as at least one digit.

View solution

Q. From 1, 2, 3, …, 320 one number is selected at random. Find the probability that it is either a multiple of 7 or a multiple of 3.

View solution

Q. Computation of the discrete logarithm is the basis of the cryptographic system _______

View solution

Q. Solve the logarithmic function of ln(\(\frac{1+5x}{1+3x}\)).

View solution

Q. Determine the logarithmic function of ln(1+5x)⁻⁵.

View solution

Q. Find the value of x: 3 x² aˡᵒᵍᵃˣ = 348?

View solution

Q. Solve for x: log₂(x²-3x)=log₂(5x-15).

View solution

Q. Solve for x the equation 2ˣ⁺³ = 5ˣ⁺².

View solution

Q. Given: log₄ z = B log₂/₃z, for all z > 0. Find the value of constant B.

View solution

Q. Evaluate: 16ˣ – 4ˣ – 9 = 0.

View solution

Q. Transform 54ʸ = n+1 into equivalent a logarithmic expression.

View solution

Q. If logₐ\((\frac{1}{8}) = -\frac{3}{4}\), than what is x?

View solution

Q. The explicit formula for the geometric sequence 3, 15, 75, 375,… is _______

View solution

Q. The third term of a geometric progression with common ratio equal to half the initial term is 81. Determine the 12th term.

View solution

Q. Which of the following series is called the “formal power series”?

View solution

Q. Determine the interval and radius of convergence for the power series: ∞∑ₙ₌₁7ⁿ/n(3x−1)ⁿ⁻¹.

View solution

Q. What is the radius of convergence and interval of convergence for the power series ∞∑ₙ₌₀m!(2x-1)ᵐ?

View solution

Q. Determine the radius of convergence and interval of convergence for the power series: ∞∑ₙ₌₀ (x−7)ⁿ⁺¹/nⁿ.

View solution