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2 2. Solve (a) 5 = 8, givig you aswe to 3 sigificat figues, (b) log 2 ( 1) log 2 = log 2 7. (3) (3) 4 *N23492B0428*

3 3. (i) Wite dow the value of log (ii) Epess 2 log a 3 log a 11 as a sigle logaithm to base a. (1) (3) Q3 (Total 4 maks) *N23558A0520* 5 Tu ove

4 4. Solve the equatio 5 = 17, givig you aswe to 3 sigificat figues. (3) Q4 (Total 3 maks) *N24322A0724* 7 Tu ove

5 physicsadmathstuto.com Jue (a) Fid, to 3 sigificat figues, the value of fo which 8 = (2) (b) Solve the equatio 2log3 log3 7 = 1. (4) 12 *H26108A01224*

6 5. Give that a ad b ae positive costats, solve the simultaeous equatios a = 3b, log 3 a log 3 b = 2. Give you aswes as eact umbes. (6) 10 *H26320B01024*

7 4. (a) Fid, to 3 sigificat figues, the value of fo which 5 = 7. (2) (b) Solve the equatio ( 5 ) 35 = 0. (4) 8 *H30722A0828*

8 4. Give that 0 < < 4 ad fid the value of. log ( 4) 2log 1, 5 5 _ (6) 8 *H30957A0828*

9 8. (a) Fid the value of y such that log 2 y = -3 (2) (b) Fid the values of such that log 32 log 16 log = log 2 (5) 20 *H34263A02024*

10 5. (a) Fid the positive value of such that a la log 64 = 2 (2) (b) Solve fo log 2 (11 6) = 2 log 2 ( 1) 3 (6) _ 8 *N35101A0824*

11 7. (a) Give that 2 log ( 5) log (213) 1, 3 3 show that = 0. (5) (b) Hece, o othewise, solve 2log ( 5) log ( 2 13) = (2) 16 *H35384A01628*

12 8. (a) Sketch the gaph of y = 7,, showig the coodiates of ay poits at which the gaph cosses the aes. (2) (b) Solve the equatio 2 7 4(7 ) 3= 0 givig you aswes to 2 decimal places whee appopiate. (6) 18 *H35403A01828*

13 3. Fid, givig you aswe to 3 sigificat figues whee appopiate, the value of fo which (a) 5 = 10, (2) (b) log 3( 2) = 1. (2) 6 *P38158A0632*

14 4. Give that y = 3 2, (a) show that log y = 1 2log 3 3 (3) (b) Hece, o othewise, solve the equatio 1 2log = log ( 28 9) 3 3 (3) 8 *P40083A0828*

15 2. Fid the values of such that 2 log 3 log 3 ( 2) = 2 (5) _ 4 *P40685A0428*

16 6. Give that 2log ( 15) log = (a) Show that = 0 (5) (b) Hece, o othewise, solve the equatio 2log ( 15) log = (2) 16 *P41487A01632*

17 6. Give that log 3 = a, fid i tems of a, (a) log 3 (9) 5 (b) log 3 81 (2) (3) givig each aswe i its simplest fom. (c) Solve, fo, log ( 9) log = 3 givig you aswe to 4 sigificat figues. (4) _ 16 *P42826A01632*

18 Questio 6 cotiued _ *P42826A01732* 17 Tu ove

19 7. (i) Fid the eact value of fo which log 2 (2) = log 2 (5 4) 3 (4) (ii) Give that log a y 3log a 2 = 5 epess y i tems of a. Give you aswe i its simplest fom. _ (3) 20 *P41859A02032*

20 Edecel AS/A level Mathematics Fomulae List: Coe Mathematics C2 Issue 1 Septembe Coe Mathematics C2 Cadidates sittig C2 may also equie those fomulae listed ude Coe Mathematics C1. Cosie ule a 2 = b 2 c 2 2bc cos A Biomial seies 2 1 ) ( b b a b a b a a b a = ( ) whee )!!(! C = = < = 1, ( 2 1 1) ( 1) ( 2 1 1) ( 1 ) (1 2 ) Logaithms ad epoetials a b b a log log log = Geometic seies u = a 1 S = a 1 ) (1 S = a 1 fo < 1 Numeical itegatio The tapezium ule: b a y d 21 h{(y 0 y ) 2(y 1 y 2... y 1 )}, whee a b h =

21 Coe Mathematics C1 Mesuatio Suface aea of sphee = 4π 2 Aea of cuved suface of coe = π slat height Aithmetic seies u = a ( 1)d S = 2 1 (a l) = 2 1 [2a ( 1)d] 4 Edecel AS/A level Mathematics Fomulae List: Coe Mathematics C1 Issue 1 Septembe 2009