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