Name: Math 30-2 hoben Date: Unit 7: Logarithmic Functions Lesson 7: Using Logs to Solve Exponential Equations 1. Solve the following equations, expressing the solution log A ii) to two decimal places i) as an exact value in the form a) 5* – 75 b) 2 = 70 c) 4**2 +5= 357 log70 log 22 2.23 logo logy log B log 75 2 log2 2. An airplane priced at $60 000 depreciates at a rate of 14% per year. The value after 1 years is given by A-60000(0.86)’, where A is the amount after depreciation. How long, to the nearest year, will it take for the airplane to depreciate in value to $18 000? Is Prt The number,

Name: Math 30-2 hoben Date: Unit 7: Logarithmic Functions Lesson 7: Using Logs to Solve Exponential Equations 1. Solve the following equations, expressing the solution log A ii) to two decimal places i) as an exact value in the form a) 5* – 75 b) 2 = 70 c) 4**2 +5= 357 log70 log 22 2.23 logo logy log B log 75 2 log2 2. An airplane priced at $60 000 depreciates at a rate of 14% per year. The value after 1 years is given by A-60000(0.86)’, where A is the amount after depreciation. How long, to the nearest year, will it take for the airplane to depreciate in value to $18 000? Is Prt The number, N, of viruses being grown in a culture after t hours is given by the formula N = N. (109.8), where No is the original number of viruses. If there are initially 1000 viruses in the culture, determine how long it would take, to the nearest tenth of an hour, for the number of bacteria to grow to 1 million. 4. Solve 4*+2 = 40 to the nearest hundredth. Show your work algebraically. x+3 5. Algebraically determine, to the nearest hundredth, the solution to the equation. a) log 32* = log 8-3 Solo b)

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