Math Transition To College Math
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Unit 6: Exponential and Logarithmic Functions
1) Solve for “x”.
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2) Solve for “x”.
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3) Solve for “x”.
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4) Solve for “x”.
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5) Solve for “x”.
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6) The population of Mongolia was approximately 2,625,000 in the year 2000 and was growing at a rate of 1.8% per year. Predict the population to the nearest ten thousand in the year 2007.
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7) A vitamin is eliminated from the blood stream at a rate of about 18% per hour. The vitamin reaches a peak level in the blood stream of 325 milligrams. Predict the amount, to the nearest tenth of a milligram, of the vitamin remaining 6 hours after the peak level.
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8) If 25 bacteria triple every two hours, how many will there be: a) after 1 hour b) after 4 hours?
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9) $800 is invested at a 5.65% interest rate compounded daily. What will the final amount be in the account after 3 years?
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10) Write the following in exponential form. State the letter of the correct answer.
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11) Write the following in logarithmic form. State the letter of the correct answer.
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12) Solve for “x”.
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13) Solve for “x”.
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14) Solve for “x”.
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15) Solve for “x”.
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16) Solve for “x”.
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17) Solve for “x”.
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18) Solve for “x” using logarithms. Round the answer to the nearest thousandth.
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19) Solve for “x” using logarithms. Round the answer to the nearest thousandth.
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20) Evaluate by using the change-of-base formula. Round the answer to the nearest hundredth.
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21) Evaluate by using the change-of-base formula. Round the answer to the nearest hundredth.
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22) Evaluate. Round the answer to the nearest thousandth.
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23) Evaluate. Round the answer to the nearest thousandth.
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24) Solve for “x” by using the natural logarithm function. Round the answer to the nearest hundredth.
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25) Solve for “x” by using the natural logarithm function. Round the answer to the nearest hundredth.
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26) Solve: $500 is deposited in a savings account. If the interest rate is 10% compounded continuously, after how many years will the investment be worth $3000?
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27) If you were directed by your school to complete Offline Activities for this course, please enter the information on the Log Entry form.
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