Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.ln 7 - 5 ln x
A. ln12
B. ln
C. ln
D.
Answer: C
Mathematics
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Use logarithmic differentiation to find the derivative of y with respect to the independent variable.y = 3t
A.
B. 3t
C.
D.
Mathematics
Solve the given differential equation. (The form of yp is given.)36D2y - y = sin x (Let yp = A sin x + B cos x.)
A. y = c1ex/6 + c2e-x/6 - sin x +
cos x
B. y = c1ex/6 + c2e-x/6 - sin x
C. y = c1ex/6 + c2e-x/6 + sin x
D. y = c1ex/6 + c2e-x/6 - cos x
Mathematics
Provide an appropriate response.Prime numbers of the form 22k + 1 are called primes.
A. Fermat B. nonconstructible C. Gaussian D. constructible
Mathematics
Use synthetic division to divide.(4x3 - 22x2 + 16x - 30) ÷ (x - 5)
A. 4x2 - 2x + 6
B. x2 +
x +
C. 4x - 2
D. -4x2 + 5x + 6
Mathematics