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| c Find the solution of the exponential equation 243(13)p2 = 3. c |
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c Find the exact solution of the equation 2(20-x27) = 40. c |
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c Find the exact solution of the equation 5 - log10 (x + 7) = 7. c |
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| c Find the solution of the equation e5x+e- 5x2 = 4. c |
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| c Solve the equation log (x - 3) + log (x + 6) = 2 log 3. c |
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c Find the possible solutions to the equation ln (x - 8) + ln (x + 9) = ln 18. c |
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c Solve the equation 12001 + 33e4x = 400. c |
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| c Solve the inequality 9 log (x + 11) - 9 log 14 < 0. c |
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c Find the orders of magnitude by which a quantity of 1 kilogram differs from 1 gram. c |
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c Find the orders of magnitude by which a quantity of one dollar differs from one penny. c |
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| c Find the solution of the exponential equation 1875(15)p2 = 3. c |
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c Find the exact solution of the equation 2(80-x38) = 160. c |
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| c Find the ratio of the severity of an earthquake in India (Gujarat) with R1 = 7.9 and in Greece (Athens) with R2 = 5.9 in 2001. c |
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c Find the exact solution of the equation 2 - log10 (x + 4) = 4. c |
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| c Find the solution of the equation e9x+e- 9x2 = 4. c |
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| c Solve the equation log (x - 8) + log (x + 11) = 2 log 3. c |
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c Find the possible solutions to the equation ln (x - 6) + ln (x + 7) = ln 14. c |
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c Find the domain of the function f (x) = ln (xx + 1). c |
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c Find the domain of the function f (x) = ln [x (x2 + 1)]. c |
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| c A quantity Q grows exponentially over time t. At time t = 3, Q = 6000 grams and at time t = 6, Q = 48000 grams. Find Q at t = 4. c |
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c Find the orders of magnitude that a horse weighing 400 kg differs from a mouse weighing 40 grams. c |
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| c Find the range of the function f (x) = 2 ln (x). c |
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c Solve the equation 9001 + 17e5x = 500. c |
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| c Solve the equation log (3x - 2) + log (x - 1) = 2 log x. c |
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| c Solve the inequality 9 log (x + 10) - 9 log 12 < 0. c |
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| c If a represents the amplitude in micrometers of the vertical ground motion at the receiving station, T represents the period of the associated seismic wave in seconds, and B represents weakening of the seismic with increasing distance from the epicenter of an earth quake, then choose the model which represents the magnitude R of the earth quake on the Richter scale. c |
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| c What does Tm represent in the equation of Newton's law of cooling, T(t) = Tm + (T0 - Tm)e-kt? c |
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| c Which of the following models a linear regression? c |
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c Which of the following models a natural logarithmic regression? c |
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| c David wants to invest some amount in a bank which will return 4 % interest compounded continuously. Find approximately, the amount that David needs to invest in the bank in order to have $ 60,000 in 10 years. c |
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| c Which of the following models represents the exponential regression? c |
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c Find the concentration of Hydrogen ion in an acid with pH value 4.5. c |
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