Download Y11_21_Exponential_Equations

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Review of Exponents
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Review of exponents
w × w × w × w = w4
so an equation w4 = 81 can be solved. How?
Normally we use a calculator w 
4
81
x2
x3
3
xy
x
AS1.2 has NO calculator use so basic power calculations are needed
Powers of
2 are 2,
3 are 3,
4 are 4,
5 are 5,
6 are 6,
7 are 7,
8 are 8,
9 are 9,
10 are 10,
4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048,
9, 27, 81, 243, 729, 2187, 6561, 19683, 59049,
16, 64, 256, 1024, 4096, 16384, 65536, 262144,
25, 125, 625, 3125, 15625, 78125, 390625,
36, 216, 1296, 7776, 46656, 279936,
49, 343, 2401, 16807, 117649,
64, 512, 4096, 32768,
81, 729, 6561, 59049,
100, 1000, 10000, 100000,
What patterns occur in the numbers?
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Exponential Equations A
Solve to find a base:
1)
x4 = 81
2)
x5 = 1024
3)
x3 + 8 = 133
4)
x6 – 20 = 44
5)
4x3 = 500
6)
10x4 = 2560
7)
2x4 +120 = 1370
8)
x3
 24
9
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Gamma p115
Ex 9.05
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Exponential Equations B
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Solve to find a power:
1)
5x = 125
2)
7x = 2401
3)
8x + 500 = 4596
4)
(-2)x – 300 = -44
5)
6x + 3 = 1296
6)
4x – 5 = 4096
Gamma p117
Ex 9.06