化成指数形式
35X88X5X(1) 則x=? (2) 則a=? X=? (3) 則 x=?,,,,1,,10101063a1010
m1m,nnmn,m,na(設a,0)2. 證明 (1)。(2) 。(3) ,,(設a,0),aaaan,an
aa0a,1(設a,0)(4)
,5
211X,,()X()y33. (1) 則y=? x=? (2) 則 x=? (3) 則 a=? 3,,a,84,,,26482,,
33yx664. (1) y=? (2) 則y=? x=? 化簡,y,?化簡,,,,,,8482
x,2()X2/3135. (1) 則 x=? (2) 則 x=? (3)化簡 640.027,,,,842
,4/31/29a,a520,236. (1) 化簡 (2) 將、化成指數形式 a9ab3/21/32a,3a
,4/31/29a,a,3,3(2,3),(2,3)7. 化簡(1) (2) 3/21/32a,3a
323x,ymn,0.450.75,20,xy32,36,81,68. 化簡 (1) (2) 則(m, n)=? ,2466y,x
(Ans. (m, n)= (0,1))
11,5x,x,9. 解方程式 2
1,12,23,310. 若 求 (1) (2) (3) x=? x,x,2x,x,?x,x,?
3x,3xx,x2x,2xx11. 若 求 (1) (2) (3) a,a,52a,a,?a,a,?a,?
2,3(Ans. (1) 4 (2) 14 (3))
zzzzxyz,,?,,1xyz,012. 若,設 ,求 (Ans. ) 3,4,12xyxy
2733,2x2x,(3)13. (1) 解方程式 (Ans.: x=1 ) (2) 設3,81 則=? x3
xxx8,____8,5514. 若 則 (答: ) 4,5
4-24-215. 用科學記號表示計算結果 (1):6×10:×: 8×10: (2) :0.5×10:×:6×10:
log27,nlog27,x16. 求下列各式中a,x,或n ,(1) (2) (3) logx,,431/35
x111log5102,32log,,log6,(4) (5) (6) ax224
503271logloglog17. 化簡(1) log,log125,log9 (2) ,, 2531010109703516
(3) log4,log5,2log125101010
log5log2,0.3010log4018. 設 求 、、 log52101010
(log3,log9)(log4,log2)19. 化簡 2439
120. 解方程式 log(x,1),2log(x,2),1100102