96test4

# 96test4 - a log b 10 b log b 8 5 c log b 2 5 d log b b 2 5...

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November 17, 2011 Math 96 - Test 4 Name__________________ Show work for full credit. 1. Solve the inequality x x 2 4 5 0 ! ! " . 2. Let f x x x ( ) = ! 2 4 and g x x ( ) = + 2. Find ( )( ) ( ( )) f g x f g x " = . 3. a. Let f x x ( ) = + 3 1. Given that f is a one-to-one function, find f x ! 1 ( ). b. Let g x e x ( ) = 5 . Given that g is a one-to-one function, find g x ! 1 ( ).

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November 17, 2011 Math 96 - Test 4 page 2 of 3 Write the equation in logarithmic form . Write the equation in exponential form . 4. 2 64 6 = 5. log 3 81 4 = Evaluate the following logarithmic expressions. Do not use a calculator. 6. log 5 125 7. log 9 1 3 8. Use proprties of logarithms to write as the sum, difference, or product of logarithms: log 7 2 3 5 x y z 9. Given log . b 2 0 277 = and log . b 5 0 644 = , find each of the following.
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Unformatted text preview: a. log b 10 b. log b 8 5 c. log b 2 5 d. log b b 2 5 November 17, 2011 Math 96 - Test 4 page 3 of 3 Solve each exponential equation. Where appropriate, include approximation to three decimal places. 10. 4 8 3 1 x + = 11. 5 27 x = 12. 8 17 3 x ! = Solve each logarithmic equation. Where appropriate, include approximation to three decimal places. 13. log ( ) log ( ) 5 5 2 2 1 x x + + ! = 14. log ( ) log 4 4 6 2 x x + ! = 15. How many years, to the nearest tenth, will be needed for \$5000 to increase to \$7500 invested at 4.8% annual interest compounded continuously? Use P t Pe rt ( ) = ....
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## This note was uploaded on 12/12/2011 for the course MATH 96 taught by Professor Lapuma during the Fall '11 term at UCSD.

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96test4 - a log b 10 b log b 8 5 c log b 2 5 d log b b 2 5...

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