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1. Math 30-1: Exponential and Logarithmic Functions PRACTICE EXAM All of the following are exponential functions except: A. C. y = 2x D. y = 3x B. y = 1x 2. The point (-3, n) exists on the exponential graph shown. The value of n is: A. C. D. B. 10 5 (-3, n) 3. The graph of has: A. A vertical asymptote at x = -3 C. A vertical asymptote at y = -2 D.
Exponential Functions and Logarithms MATH 30-1 PRACTICE EXAM 6. 9𝑚 2 A. ‒1 The equation can be written in terms of as: 𝑙𝑜𝑔 𝑏+ 1 (3𝑚) = 1 2, 𝑏 PART 1 – Machine Scored NR #1 Use the following information to answer the next question.
1 2) x is translated 2 units left, reflected across the y-axis and vertically stretched by a factor of 3. What is the equation of the translated function? f (x) = 3 × (1 2)-x + 2 38) The function f (x) = logx is translated 2 units down, reflected across the y-axis and vertically compressed by a factor of 1/2. What is the equation of the ...
Find the value of y. 2. Evaluate. 3. Write the following expressions in terms of logs of x, y and z. 4. Write the following equalities in exponential form. 5. Write the following equalities in logarithmic form. 6. True or False? 7. Solve the following logarithmic equations. 8. Prove the following statements. 9.
Express the equation in exponential form and solve the resulting exponential equation. Simplify the expressions in the equation by using the laws of logarithms.
The amount of Iodine 131 in a sample after days can be modeled by the equation , where 𝑡 𝐴=𝐴 0 (0.9172) 𝑡 is the initial amount Iodine 131. 𝐴 0 Algebraically determine the minimum amount of time needed for a sample of Iodine 131 to decay to 10% of its initial amount. (2 marks)
Practice Worksheet: Exponential and Logarithmic Functions [Round answers to three decimal places.] 1. Find the unknown in each of the following equations. Show all your work. a. log 2 3 1x b. log 7 x c. 3 log x 8 6 2. For each of the following: * Write the expression as a single logarithm using the rules of logarithms.
