4 S.3 Indices questions (10 points)

2008-10-07 1:20 am
1. (a^-x) * (a^2x-1) = a^3
2. (3^x + 1) +( 3^x ) - 36=0
3. (5^x +1) - (5^x) - 100=0
4. (9^x) + (9^x-1) -10 = 0

回答 (1)

2008-10-07 1:45 am
✔ 最佳答案
1.
(a-x) Ÿ (a2x-1) = a3

a-x+2x-1 = a3

ax-1 = a3

x -1 = 3

x = 4

=====
2.
3x+1 + 3x - 36 =0

3(3x) + 3x = 36

3x(3 + 1) = 36

4Ÿ3x = 36

3x = 9

3x = 32

x = 2

=====
3.
5x+1 - 5x - 100 = 0

5Ÿ5x - 5x = 100

5x(5 - 1) = 100

5xŸ4 = 100

5x = 25

5x = 52

x = 2

=====
4.
9x + 9x-1 - 10 = 0

9Ÿ9x-1 + 9x-1 = 10

9x-1(9 + 1) = 10

9x-1Ÿ10 = 10

9x-1 = 1

9x-1 = 90

x - 1 = 0

x = 1
=


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