SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

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1 Review.1 -. Name Solve the problem. 1) The rabbit population in a forest area grows at the rate of 9% monthl. If there are 90 rabbits in September, find how man rabbits (rounded to the nearest whole number) should be epected b net September. Use = 90(.7)0.09t. 1) Graph the function b making a table of coordinates. ) f() = ) ) f() = 1 )

2 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph of an eponential function is given. Select the function for the graph from the functions listed. ) 10 ) A) f() = - B) f() = + C) f() = D) f() = - Graph the function. ) Use the graph of f() = to obtain the graph of g() = ) A) B)

3 C) D) Solve the problem. ) The population in a particular countr is growing at the rate of 1.% per ear. If,819,000 people lived there in 1999, how man will there be in the ear 007? Use f() = 0 e0.01t ) and round to the nearest ten-thousand. Use the compound interest formulas A = P 1 + r n nt and A = Pe rt to solve. 7) Find the accumulated value of an investment of $17,000 at % compounded annuall for 1 ears. 7) 8) Find the accumulated value of an investment of $000 at 7% compounded continuousl for ears. 8) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 9) Suppose that ou have $8000 to invest. Which investment ields the greater return over ears:.% compounded continuousl or.% compounded semiannuall? A) Both investment plans ield the same return. B) $8000 invested at.% compounded semiannuall over ears ields the greater return. C) $8000 invested at.% compounded continuousl over ears ields the greater return. 9) Write the equation in its equivalent eponential form. 10) log 1 = 10) 11) log b 9 = 11) Write the equation in its equivalent logarithmic form. 1) = 1 1) 1) 1 = 1)

4 1) = 1) Evaluate the epression without using a calculator. 1) log 7 1) 1) log 1 1) 17) log 1 17) 18) log 18) 19) 7 log ) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. The graph of a logarithmic function is given. Select the function for the graph from the options. 0) 10 0) A) f() = log ( - ) B) f() = log ( + ) C) f() = log + D) f() = log Evaluate or simplif the epression without using a calculator. 1) log ) ) log 10 ) ) log 10.9 )

5 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. ) The ph of a solution ranges from 0 to 1. An acid has a ph less than 7. Pure water is neutral and has a ph of 7. The ph of a solution is given b ph = - log where represents the concentration of the hdrogen ions in the solution in moles per liter. Find the ph if the hdrogen ion concentration is A) 9 B) -9 C) D) - ) Evaluate or simplif the epression without using a calculator. ) ln e ) ) ln e ) Evaluate the epression without using a calculator. 7) ln 1 e9 7) 8) eln 8 8) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use properties of logarithms to epand the logarithmic epression as much as possible. Where possible, evaluate logarithmic epressions without using a calculator. 9) log ( 11) 9) A) ( log )( log 11) B) log + log 11 C) log - log 11 D) log 0) log (100) A) + log B) log C) 0+ log D) 0) 1) log 9 9 1) A) 1 B) - log 9 C) 9 D) 1 - log 9 ) ln e ) A) ln e + ln B) - ln C) + ln D) ln e - ln ) log A- A) -log A B) - + log A C) log A D) + log A )

6 ) ln A) ln B) ln C) ln D) 1 ln ) ) log 8 A) 1 log 8 B) log 8 C) 1 log 8 D) 1 8 log ) ) log A) log ( 77 1 ) B) log 7 + log 11 - log 1 ) C) log D) log 77 - log 1 7) log 7) A) log + log B) log - log C) 1 log ( ) D) log - log 8) log 10 8) A) log log B) 1 log log C) 1 log 10 D) log 10 + log 9) log z 9) A) log + log - log z B) 1 log 1 log log z C) log + log - log z D) 1 log + 1 log - log z

7 0) log 1 - ( + 1) 0) A) log ( 1 - ) - log (( + 1)) B) log + log + 1 log (1 - ) - log + log ( + 1) C) log + log + log (1 - )1/ - log - log ( + 1) D) log + log + 1 log (1 - ) - log - log ( + 1) Use properties of logarithms to condense the logarithmic epression. Write the epression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic epressions. 1) log q - log r 1) b b A) log (q - r) B) log ( q b b r ) C) log b q r D) log b q log b r ) log 1 - log ) A) log 1 1/ B) log 10 C) D) log 7 ) ln + ln A) ln B) ln C) ln D) ln ( + ) ) ) log + log ( - ) A) log ( - ) B) log ( - ) C) 1 log ( - ) D) log ( - )1 ) ) log + log ( - 81) - log - log ( - 9) ( - 81)( - 9) A) log C) log + 9) 1 - B) log D) log ( + 9) ( - 81) ( - 9) ) Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places ) log 7 0 ) 7) log π 7) 7