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| e Find the solution of the exponential equation 243(13)p2 = 3. e |
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e Find the exact solution of the equation 2(20-x27) = 40.
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e Find the exact solution of the equation 5 - log10 (x + 7) = 7.
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| e Find the solution of the equation e5x+e- 5x2 = 4. e |
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| e Solve the equation log (x - 3) + log (x + 6) = 2 log 3. e |
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e Find the possible solutions to the equation ln (x - 8) + ln (x + 9) = ln 18.
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e Solve the equation 12001 + 33e4x = 400.
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| e Solve the inequality 9 log (x + 11) - 9 log 14 < 0. e |
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e Find the orders of magnitude that a horse weighing 400 kg differs from a mouse weighing 40 grams.
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e Find the orders of magnitude by which a quantity of 1 kilogram differs from 1 gram.
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e Find the orders of magnitude by which a quantity of one dollar differs from one penny.
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| e Find the solution of the exponential equation 1875(15)p2 = 3. e |
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e Find the exact solution of the equation 2(80-x38) = 160.
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| e 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. e |
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e Find the exact solution of the equation 2 - log10 (x + 4) = 4.
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| e Find the solution of the equation e9x+e- 9x2 = 4. e |
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| e 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. e |
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| e 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. e |
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| DDD Solve the equation log (x - 8) + log (x + 11) = 2 log 3. DDD |
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DDD Find the possible solutions to the equation ln (x - 6) + ln (x + 7) = ln 14.
DDD |
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DDD Find the domain of the function f (x) = ln (xx + 1).
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DDD Find the concentration of Hydrogen ion in an acid with pH value 4.5.
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DDD Find the domain of the function f (x) = ln [x (x2 + 1)].
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| DDD Find the range of the function f (x) = 2 ln (x). DDD |
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DDD Find the domain of the function f (x) = ln x2.
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DDD Solve the equation 9001 + 17e5x = 500.
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| DDD Solve the equation log (3x - 2) + log (x - 1) = 2 log x. DDD |
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| DDD Solve the inequality 9 log (x + 10) - 9 log 12 < 0. DDD |
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| DDD 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. DDD |
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| DDD What does Tm represent in the equation of Newton's law of cooling, T(t) = Tm + (T0 - Tm)e-kt? DDD |
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| DDD Which of the following models a linear regression? DDD |
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DDD Which of the following models a natural logarithmic regression?
DDD |
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| DDD Which of the following models represents the exponential regression? DDD |
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