Solve for x if ln (x + 1) = 1 + ln x.
Solve for x if ln (x + 1) = 1 + ln x.
| A. $\dfrac{1}{e - 1}$ | C. $e + 1$ |
| B. $e$ | D. $e^2$ |
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May 2017
A bacterial culture is growing according to the formula y = 10,000e^{0.6x) where x is the time in days. Estimate the number of bacteria after one week.
A bacterial culture is growing according to the formula y = 10,000e0.6x where x is the time in days. Estimate the number of bacteria after one week.
| A. 556,400 | C. 666,863 |
| B. 887,600 | D. 447,600 |
A radioactive substance is decaying (it is changing into another element) according to the formula y = Ae^(-0.2x)
A radioactive substance is decaying (it is changing into another element) according to the formula y = Ae-0.2x where y is the amount of material remaining after x years. If the initial amount A = 80 grams, find the half life (time it takes for half of it to decompose) of this substance.
| A. 3.465 yrs | C. 2.485 yrs |
| B. 4.025 yrs | D. 1.95 yrs |
Solve for x if log_x (2x)^(3x) = 4x.
Solve for x if logx (2x)3x = 4x.
| A. 6 | C. 7 |
| B. 8 | D. 10 |
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Solve for x if (x + 2) log_b b^x = x.
Solve for x if (x + 2) logb bx = x.
| A. -1, 0 | C. -2 |
| B. 1, 2 | D. 0, 1 |
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Solve for x if log_3 2x - log_3 (x + 5) = 0.
Solve for x if log3 2x - log3 (x + 5) = 0.
| A. 3 | C. 5 |
| B. 4 | D. 6 |
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Determine the value of x if log (x^3 - 1) - log (x^2 + x + 1) = 1.
Determine the value of x if log (x3 - 1) - log (x2 + x + 1) = 1.
| A. 11 | C. 9 |
| B. 10 | D. 8 |
Solve for x if 2 log25 x - log25 (25 - 4x) = 1/2.
Solve for x if 2 log25 x - log25 (25 - 4x) = 1/2.
| A. 3 | C. 5 |
| B. 4 | D. 6 |
Solve for x if log8 (x - 6) + log8 (x + 6) = 2.
Solve for x if log8 (x - 6) + log8 (x + 6) = 2.
| A. 7 | C. 9 |
| B. 8 | D. 10 |
If $\log_x 2 = 1.2a$ and $\log_x 3 = 1.5a$, find $\log_x \sqrt{12}$ .
If $\log_x 2 = 1.2a$ and $\log_x 3 = 1.5a$, find $\log_x \sqrt{12}$ .
| A. 2.7a | C. 2.1a |
| B. 1.35a | D. 1.95a |