Zup 2 2 - 6 30,000=15,500(1.0575/4 4t...

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MA1310: Module 2 Exponential and Logarithmic Functions Exercise 2.2 Solving Exponential and Logarithmic Equations 1. 6x=216x=3.2 2. 3.12676 3. Log7 x=2 x= 49 4 4. log ( x + 16) = log x + log 16 Log (x+16)=log x + log 16 x=16/15 5. A. the population was 16.6 million B. 23.3/16.6=16.6e 0.0547t /16.6 23.3/16.6=e 0.0547t ln23.3/16.6=lne 0.0547t ln23.3/16.6=0.0547t t≈6.198 t≈6 The population of the state will reach 23.3 million in year 2006
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Unformatted text preview: 6. 30,000=15,500(1+.0575/4) 4t 30,000/15,500=15,500(1.014375) 4t ln300/155 all over 4ln 1.014375=4t ln 1.014375/4 ln 1.014375 ln300/155 all over 4(ln 1.014375)=t 0.660/0.0571=t t= 11.55 t= 12 After approximately 12 years, the $15,500 will grow to an accumulated value of $30,000. 7. 7. 8. 0.20 = 2^(-T ⁄ 7340) log[0.20] = (-T ⁄ 7340) • log[2] T = -7340 • log[0.20] ⁄ log[2] T = 17043 years...
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