17exerciseset3 - MATHEMATICS 17 Exercise Set 3 I. Find the...

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Unformatted text preview: MATHEMATICS 17 Exercise Set 3 I. Find the numerical value of 1. log 3 5 · log 25 27 2. log 3 2 · log 4 3 ··· log 10 9 log 11 10 II. Solve for x . 1. x 3- 4 x 2- 18 x + 9 = 2. 10 x 4- 23 x 3- 10 x 2 + 29 x =- 6 3. log xy 3 √ x √ y if log xy x = 4 4. x + log ( 1 + 2 x ) = x log 5 + log 6 5. 1- log 5 = 1 3 log 1 2 + log x + 1 3 log 5 6. log 8 8 x 2 ( log 8 x ) 2 = 3 7. q log 2 x 4 + 4 log 4 r 2 x = 2 8. ( log x 3 ) 2- 20 log √ x + 1 = 9. log 2 x- 8 log x 2 2 = 3 10. log √ x 2 + 4 log 4 x 2 + 9 = 11. log x 3 · log x /3 3 + log x /81 3 = 12. 0.125 ( 4 2 x- 3 ) = √ 2 8 !- x 13. 2 ( 4 2 x )- 17 ( 4 x ) + 8 = 14. 3 x √ 81- 10 x √ 9 =- 3 15. x 2 ( log x ) 3- 1.5log x = √ 10 16. 32 x + 5 x- 7 = 0.25 128 x + 17 x- 3 17. 0.5 x 2 ( 2 2 x + 2 ) = 64- 1 III. Do as indicated. 1. Given f ( x ) = √ 1- x , find f- 1 ( x ) and graph f and f- 1 on one coordinate plane....
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