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CP Algebra II 3/14/16 Chapter 7 Review 1. Name: ________________ Evaluate. a. log 3 d. ln e 8 1 81 2. Ê x 3 ˆ˜ ˜. Expand log Á Á 9˜ Á Á yz Ë ˜¯ 3. Condense 3log5(x) - 4. Find the inverse of each function. 5. b. log 9 27 c. log125 5 e. log2 64 f. log 4 1 log5 36 + log5 x 2 . 2 a. y = 4x + 6 - 11 b. y = 3e 5x + 8 c. y = log7 (x - 9) + 1 d. y = 2 ln(x + 5) 3³7x+ 8 + 9 = 51 b. 4x = Solve. a. 1 256 1 16 6. c. log 4 (x + 5) = 3 d. e x + 4 = 6x - 1 e. 5x = 18 f. log2(x - 6) - log2(x + 8) = 3 g*. 92x - 8 ³9x = - 15 h. ln(x 3 - 5) = ln(22) i. log(x - 5) + log(x + 2) = log(18) j. ln(4x + 7) = 19 How much interest do you earn on a 6 year investment of $560 at 4% compounded monthly? 7. How long would you have to invest $4000 compounded continuously at 3.5% in order to double your money? 8. Algebrainium has a half-life of 56 years. 9. a. Find the decay equation for Algebrainium. b. How much of a 40 g sample of Algebrainium remains after 120 years? c. How long will it take for only 6 g of a 24 g sample of Algebrainium to remain? Find an equation for each exponential or logarithmic function. a. b. c. d.