Use the properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.  3 log42+ 16log4 (r-3) – 12log4r{“version”:”1.1″,”math”:”3 log42+ 16log4 (r-3) - 12log4r”}

Graph the parabola. x2=-20y{“version”:”1.1″,”math”:”x2=-20y”}

Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes.  4×2-9y2=36{“version”:”1.1″,”math”:”4×2-9y2=36″}

Use the compound interest formulas A = P (1+rn)nt and A = Pert{“version”:”1.1″,”math”:”A = P (1+rn)nt and A = Pert”} to solve.  Suppose that you have $3000 to invest. Which investment yields the greater return over 9 years: 5.4% compounded monthly or 5.5% compounded quarterly?

Solve the system of the equation for z.  x – y +5z = 124x + z = 2x + 4y +z =-6{“version”:”1.1″,”math”:”x - y +5z = 124x + z = 2x + 4y +z =-6″}

Find the foci of the ellipse whose equation is given.  36(x-3)2+25(y+1)2=900{“version”:”1.1″,”math”:”36(x-3)2+25(y+1)2=900″}  

Find the indicated sum.  ∑k=24  k(k-7){“version”:”1.1″,”math”:”∑k=24  k(k-7)”}

Solve. The half – life of silicon – 32 is 710 years. If 30 grams is present now, how much will be present in 300 years? (Round your answer to three decimal places.)

x + y = 02x +3y = -7{“version”:”1.1″,”math”:”x + y = 02x +3y = -7″}Solve the system of the equations by substitution for x.   

Write the first four terms of the sequence define by the recursion formula.  a1=-2 and an=-3an-1 for n≥2{“version”:”1.1″,”math”:”a1=-2 and an=-3an-1 for n≥2″}