U of M
MATH 1051 -
Worksheet
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Math 1051, Summer 2007, Worksheet 161. Solve the following equations for x:(a) 32x+1= 23x+2(express this one to the nearest hundredth)(b) log√x =√log x(c) ln(2x + 5) = ln 3 + ln(x − 1)2. Express the following as single logarithms, or without logarithms if pos-sible:(a) ln e2xy+ ln e(b) logbb − ln 1(c)12logbx − logbx + 5 logby3. How long will it take $2000 to quadruple if it is invested at 11% interestcompounded semimonthly?14. The equation Q = Q0e.3tdescribes the number of bacteria in a certainculture after t hours. How long will it take 1500 bacteria to increase to 4500?5. How many times more intense is an earthquake with a 8.7 Richter scalereading over an earthquake with a 5.2 Richter scale
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