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Quiz 5 Solutions

Quiz 5 Solutions - Use nt n r P A 1 = t A 365 365 05 1 6000...

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Quiz 5 Name: ______________________ Math 115-007 October 15, 2008 1. (5 points) Let 19 2 = x . Rewrite this equation using 2 log notation (use the definition of logarithm). x = 19 log 2 2. (5 points each) Solve for x : a. 16 1 2 2 = + - x 4 2 2 2 - + - = x 6 4 2 = - = + - x x b. ) 4 4 log( ) 4 log( ) 4 log( 2 + - = - + + x x x x 5 4 20 4 4 16 4 4 16 4 4 ) 4 )( 4 ( ) 4 4 log( )) 4 )( 4 log(( 2 2 2 2 = - = - + - = - + - = - + - = - + + - = - + x x x x x x x x x x x x x x 3. (5 points each) Write the equation describing the amount after t years in an account if: a. \$6000 is deposited at an annual rate of 5%, compounded daily
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Unformatted text preview: Use nt n r P A ) 1 ( + = : t A 365 ) 365 05 . 1 ( 6000 + = b. \$10000 is deposited at an annual rate of 4%, compounded continuously Use rt Pe A = : t e A 04 . 10000 = 4. (5 points) Rewrite ) 16 ln( using in terms of base-6 logarithms ( 6 log notation). ) 16 ln( = e 6 6 log 16 log...
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