Graph the solution set of the system of inequalities or indicate that the system has no solution.2x – y ≤ -8x + 3y ≥ -9

Evaluate the expression .ln e12x

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. Do not write x=.log6(x + 3) = 1

Solve the equation by expressing each side as a power of the same base and then equating exponents. Only write the numerical value of the answer ( not x=)16x + 5 = 64x – 9

Solve the equation by expressing each side as a power of the same base and then equating exponents. Only write the numerical value of the answer ( not x=)4x + 10 = 8x – 2

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.11ln (x – 3) – 2 ln x

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. Do not write x=.log2(x + 5) + log2(x – 1) = 4

Solve the system by the addition method. Determine the x-value of the solution to the system. 2x + 5y = 215x – 3y = -25

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.3logby + 7logbz

Solve.The function A = A0e-0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 500 pounds of the material are initially put into the vault, how many pounds will be left after 60 years? Round your answer to the nearest whole number.