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. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.2ln (x – 7) – 5 ln x

Convert to a logarithmic equation.yz = 5

Given that the polynomial function has the given zero, find the other zeros algebraically. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.x3 + 2×2 – 11x – 12 ; -1 is a zero

Use the Rational Zero Theorem to list all possible rational zeros for the given function. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = 7×3 – 6×2 + 2

Find the value of the expression.ln e-5

Find the inverse of the relation.{(-8, -8), (-7, -8), (-6, 8), (-5, 9)}

Find the logarithm using the change-of-base formula. Round your final answer to four decimal places. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.log8 0.859

Use the Binomial Theorem to expand the binomial and express the result in simplified form. You will receive no credit if you use any other method. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.(x – 6)3

For the pair of functions, find the indicated sum, difference, product, or quotient. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.f(x) = 4×2 + 7, g(x) = x – 3Find (f – g)(x).

Convert to an exponential equation.logwQ = 11