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## Course: Algebra 2 > Unit 8

- Exponential model word problem: medication dissolve
- Exponential model word problem: bacteria growth
- Logarithms: FAQ

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Exponential model word problems. A culture of bacteria starts with 50 50 bacteria and increases exponentially. The relationship between B B, the number of bacteria in the culture, and d d, the elapsed time, in days, is modeled by the following equation. In how many days will the number of bacteria in the culture reach 800 {,}000 800,000?

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Exercise 4.6e. 1 1) How can an exponential equation be solved? 2) When does an extraneous solution occur? How can an extraneous solution be recognized? 3) When can the one-to-one property of logarithms be used to solve an equation? When can it not be used? Answer 1 Answer 3 B: Solve Exponential Equations Using the 1-1 Property (like Bases)

1) y = 1 3 + 6 -3 ) 2) y = log 5 (-4x + 6) + 4 3) y = 1 5 + 10 ) 2 4) y = ln (4x - 10) - 6 5) A substance decays 22% each day. After 7 days, there are 9 milligrams of the substance remaining. How many milligrams were there initially? 6) Sam opened a bank account with an interest rate of 4.8% that is compounded annually.

Vanier College Sec V Mathematics Department of Mathematics 201-015-50 Worksheet: Logarithmic Function 1. Find the value of y. (1) log 5 25 = y (2) log 3 1 = y (3) log 16 4 = y (4) log