Name Date Pre-Calc Honors Practice Problems Chapter 3 Section 1- No Calculator 1) Find the Domain of the following functions a) x) =:0915(::1;) b) for) = 109812) 2) Given f(x) = 10 + 0932: identify the x-intercept. 3) Simplify 5 s a) 09412?) c) 1091111 b) 111\"\"5 d) 109243 31092:: 2 4) Rewrite the expression so it reads as log ( ) 5) Describe the transformations to go from P(x) = 7x into 90:) = 3(7)\") 6) Expand or Condense the following expressions logs(x+1) 4 a) 8103506) + 3Iogs(x + 2) c) 4[2 In(x 9) + ian + 1)] 3in(y 7) b) 093(27x4\\3x_1 ) Z d) %[5iog(x + 1) + 090: 2)] 7iogx 7) Solve for X. a) In(5x + 12) = In(2x + 6) d) logx + log(x + 3) = 1 b) log,x + log, (x - 6) = 3 e) 94-x = () c) log, (5x + 14) = 2 f) log1 9 = x - 7 8) Rewrite the following expressions only in terms of log 25 and log 81: log(9) 9) Simplify the following: (if you can) a) In10 (nix = log,9 d) 2 = b) log V16 = Inve e) er 2lnyx c) e" In(In x) f) e" 10) Solve for x a) log x =- 1 c) In(x + x) - In(12) = 0 b) In(x + 6) - In(x + 2) = In4 d) log (x - 1) =- 1 Section 2- Calculator Allowed 11) Solve: a) 7" = 37* b) 11 = 5"c) 692x: 72 e) Iogx + log (x 21) = 2 d) 4(3") = 64 f) log(3x + 2) + log(x 1) = 1 1000 . _m, where y Is the 1+990e ' total number infected after tdays. In how many days will 350 people be infected with the virus? 12)The spread of the u virus through a certain population is modeled by y = 3000 13) The growth of a population follows the model P = W where t is in months. Estimate the 1+1le population after 5 months (round to nearest integer) 14) Three hours after bacteria were introduced into a culture, the population was 150. 6 hours after that the population was 541. What will the population be 30 hours after the start of the experiment? 15) Solve by graphing in the graphing calculator (use intersect feature) a)lnx=(x1)2 bllm:2 = xlx+23