Exam 11: Exponential Functions

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Solve the equation. Solve the equation.   x = __________ x = __________

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The half-life of iodine-131 is 8 days. If a patient is administered a 1,700-microgram dose of iodine-131 , how much iodine-131 will be in the patient's system after 8 days and after 22 days?

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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Find a decimal approximation of the following natural logarithm. Round your answer to four decimal places, if necessary. ln 341

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Simplify the following expression. Simplify the following expression.

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Find x . Find x .

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Automobiles built before 1993 use Freon in their air conditioners. The federal government now prohibits the manufacture of Freon. Because the supply of Freon is decreasing, the price per pound is increasing exponentially. Current estimates put the formula for the price per pound of Freon at Automobiles built before 1993 use Freon in their air conditioners. The federal government now prohibits the manufacture of Freon. Because the supply of Freon is decreasing, the price per pound is increasing exponentially. Current estimates put the formula for the price per pound of Freon at   where t is the number of years since 1990. Find the price of Freon in 1990 and 1999. What is the anticipated cost for Freon in the year 2009? where t is the number of years since 1990. Find the price of Freon in 1990 and 1999. What is the anticipated cost for Freon in the year 2009?

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Find the following logarithm to four decimal places. Find the following logarithm to four decimal places.

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Could the following table of values represent ordered pairs from a one-to-one function? Answer yes or no . x y - 2 0.3 - 1 0.5 0 0.7 1 0.9 2 1.1

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For the following one-to-one function, find the equation of the inverse. For the following one-to-one function, find the equation of the inverse.

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The function The function   where V is value and t is time in years, can be used to find the value of a crane for the first 6 years of use. How much time must pass before the crane will be worth only $55,000? Please round your answer to the nearest month. __________ year(s) __________ month(s) where V is value and t is time in years, can be used to find the value of a crane for the first 6 years of use. How much time must pass before the crane will be worth only $55,000? Please round your answer to the nearest month. __________ year(s) __________ month(s)

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If If   find  find If   find

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Write the expression as a single logarithm. Write the expression as a single logarithm.

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Solve the equation. Solve the equation.

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Use properties of logarithms to expand the expression as much as possible. Use properties of logarithms to expand the expression as much as possible.

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Suppose you deposit $1,000 in an account with an annual interest rate of 9% compounded quarterly. How many years will it take for the account to contain $3,000?

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Solve the equation for x . Solve the equation for x .

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Suppose you deposit $1,600 in an account with an annual interest rate of 5% compounded quarterly. Find the amount of money in the account after 11 years.

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Solve the equation for x . Solve the equation for x .

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Write the equation in exponential form. Write the equation in exponential form.

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