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  1. Question 1 Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010

  2. IB Questionbank. Logs practice. [48 marks] 1. Solve the equation 2 ln x = ln 9 + 4 . Give your answer in the form. x = peq where p, q ∈ Z+ . [5 marks] 3. Solve the equation log3 √x = 1 + log3(4x3) , where x > 0 . 2log23. [5 marks] ( )= log ( − 4) > 4 > 0. Let f(x)= a log3(x − 4) , for x > 4 , where a > 0 . Point A(13,7) lies on the graph of f . 3a.

  3. 4 Free worksheets with answer keys on logarithms. Each one has model problems worked out step by step, practice problems and challenge proglems.

  4. Logarithms Practice Test. Multiple Choice. Identify the choice that best completes the statement or answers the question. ____ 1. Which of the following statements is true? The domain of a transformed logarithmic function is always {x ∈ R}. Vertical and horizontal translations must be performed before horizontal and vertical stretches/compressions.

  5. Section 1. Logarithms. The mathematics of logarithms and exponentials occurs naturally in many branches of science. It is very important in solving problems related to growth and decay. The growth and decay may be that of a plant or a population, a crystalline structure or money in the bank.

  6. Expand the following logarithms. Use either the power rule, product rule or quotient rule. 1. log2(95) = __________. 3. log. 19 . 5 2 = __________. 5. log3(xy) = __________. 7. log3(5y) = __________. 2. log2(21) = __________.

  7. Solve the equation log5 (3 —2x) + log5 (2 + x) = l, where x is a real number. maths guy.com my. Scientists are studying the growth of a strain of bacteria. The number of bacteria present is given by the formula t B (t) = 200 e where t represents the number of hours since the study began.

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