Math 30-1 Name: She W . Exponents & Logs Date: Exponents and Logarithms Assignment 1 Period: 1. Show all work to solve 1253x+2 _ 15625x-4 625 - algebraically. 2. The graph of y = 2* is provided on the grid below. 32 a. The original graph is transformed to 28 y + 2 = 26-2x, sketch the new graph on the same grid. b. Provide the mapping notation. c. State the Domain and Range of the -5 new function. D R: 3. Solve. Show all work. Give exact value answers, do not round. a. 3(163x) = 3072 b. 7 log4(16x) = 42Math 30-1 Exponents & Logs 4. Algebraically find the inverse of y = V3x. 5. Show work to determine the value of 3 log4 a + 3 log4 b if ab = 64. 6. If logy y = 100 and log2 x = 5, then the value of y is: (leave your answer as a single power) 7. Show work to simplify to a single power and evaluate: Steps with exponent or log laws cannot be skipped. (2 10825 ) ( 2 10812 ) (2 log3)Math 30-1 Exponents & Logs 8. Given the original graph of y = logix, state the equations of any asymptotes of y = 2log b (3x - 6). 9. The graph of y = logix passes through the point (5, 9). The graph of y = logb(2x) - 7 passes through the point (m, n). Show some work to find (m,n). 10. Show work to simplify logs 9y - 3 logs xy ,if y = 3x. Answer in m logs n form. 11. If logba = 8 and logic = 9, then show some work to find the value of logo(atc5): 12. Use the laws of logarithms to evaluate log2 (32 . V16) - log2(1280.25). Express your answer in reduced fraction form and show your work