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Name: Mathematics 30-2 Applications of Exponents & Logarithms Review 1. If 4log, x = log, 625, then the value of x is a. 5 b. 4 C. 3 d. 1 2. If 2 gz *+log25 = 16, then the value of x is a. -1 b. 1.25 c. 3.2 d. 11 3. If log(x-6)(x) = 2, then the largest value of x, correct to the nearest tenth, is ? Numerical Response 4. If 42 = 90, then the value of x, to the nearest tenth, is ? Numerical Response Numerical 5. If log(x-4)(x2 - 2x -61) =2, then the value of x, to the nearest tenth, is Response6. If 240 = 15(1.5)", then the value of x, to the nearest tenth, is ? Numerical Response Numerical 7. If (3.5)* = 120, then the value of x, to the nearest tenth, is _? Response 8. If $1 500 is invested in an account at 12% per annum compounded semi-annually, then the accumulated amount immediately after 6 years will be a. $3 018.29 b. $2 960.73 c. $2 580.00 d. $2 127.78 9. It is estimated that in 15 years a student will require $20 000 to pay first-year college expenses. If money is compounded semi-annually at 10% per annum, then the amount that an individual must invest now is: a. $9620.34 b. $4787.84 c. $4627.55 d. $1146.17 10. During each 25-year period, an isotope of strontium has its initial mass reduced by a factor of 1/2. The initial mass of a sample of strontium is 36 mg. The mass of this sample after 325 years is: a. 0.0022 mg b. 0.0044 mg c. 0.0088 mg d. 0.0176 mg11. One sound is measured at 78 dB. How many times as loud as this sound is a sound measured at 87 dB? a. 1.1 b. 7.9 c. 9.0 d. 10" 12. What magnitude of earthquake is about 2 times as intense as an earthquake with a magnitude of 5.5? 550 b. 11 C. 7.5 d. 5.8 Numerical 13. After 204 minutes a sample of Plutonium decreased to 1/64 of its original mass. The half- Respons life of Plutonium, to the nearest minute is: Numerical 14. Acid A has a pH of 4.6. Acid B has a pH of 2.8. To the nearest whole number, how many Response times more acidic is Acid B than Acid A? 15. If 4 logx 1 16 then x is equal to a. -2 b. 2 C. 100 d. 10016. Expressed as a single logarithm, 3log, 4 + log, 2-log, 4 is a. log, 10 b. log, 20 c. log, 32 d. log, 62 17. Which of the following is equivalent to the equation log, G =210g, M -log, N? a. Ge N b. G - M' - N C. G- 2M N d. G =2M -N 18. Written as a single logarithm, log,. (a) + 310g,,(6 -1) is a. log. ( Va + 363 ) b. log10 Va b c. log . (Va(b-1)3 ) d. logo(a + b' -1) 19. If 3* = 4, then log, 16 in terms of x is a. 12* b. C. 34x d. 2x 20. An equivalent form of Slog, x -5 is a. = 715 b. x* = 20 C. x3 = 528 d. x3 = 720