Example 1:
Solve each equation:
a) (5) x = 25
(5) x = (5)2
X = 2
b) (3) x = 81
(3) x = (3)4
X = 4
c) (2) x + 1 = 8
(2) x + 1 = (2)3
X + 1 = 3
X = 3 - 1
X = 2
d) (7) x - 3 = 49
(7) x - 3 = (7)2
X – 3 = 2
X = 2 + 3
X = 5
Example 2:
Solve each equation:
a) (6)x = 36
(6)x = (6)2
X = 2
b) (2)x = 16
(2)x = (2)4
X = 4
c) (5) x + 1 = 125
(5) x + 1 = (5)3
X + 1 = 3
X = 3 - 1
X = 2
d) (3)x-3 = 27
(7)x-3 = (3)3
X – 3 = 3
X = 3 + 3
X = 6
Example 3:
Solve each equation:
a) (2)x = 32 32 = 2 ×2×2×2×2
(2)x = (2)…..
X = …..
b) (5)x = 625 625 =5 ×5×5×5
(5)x = (5)….
X = …..
c) (3)x+2 = 81 81= 3 ×3×3×3
(3)x+2 = (3)......
X + 2 = .....
X = ... - 2
X = ......
d) (4)x - 3 = 16
(4)x - 3 = (4)....
X – 3 = ....
X = .......
Example 4:
Solve each equation:
a) (½) x = ¼
(½) x = (½)2
X = 2
b) (2/3) x = 4/9
(2/3) x = (2/3)2
X = 2
c) (2/5) x + 1 = 8/125
(2/5) x + 1 = (2/5)3
X + 1 = 3
X = 3 - 1
X = 2
d) (2/3) x - 3 = 16/81
(2/3) x - 3 = (2/3)…..
X – 3 = …..
X = …. + 3
X = …..
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