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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=)2(1 + 2x) = 8

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=. log 4x = log 5 + log (x – 1)

Solve.The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model When will the account be worth $13,521?

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=.log5(x – 3) = 2

Find the range of the quadratic function.f(x) = (x + 2)2 + 5

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.y = 15 – 4x12x + 3y = 45

Select the correct answer. The function A = A0e-0.01155x 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. This is an example of …

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 90 years? Round your answer to the nearest whole number. 

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.8ln (x – 2) – 9 ln x

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.y = 8 – 2x8x + 4y = 32