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Section 3.1
26 & 28
Question 26
2^(x - 2) = 64
Let 64 = 2^6.
2^(x - 2) = 2^6
x - 2 = 6
x = 6 + 2
x = 8
Question 28
5^(x - 2) = 1/125
Let 1/125 = 125^(-1).
Let 125 = 5^3.
5^(x - 2) = (5^3)^(-1)
5^(x - 2) = 5^(-3)
x - 2 = -3
x = -3 + 2
x = -1
You say?
26 & 28
Question 26
2^(x - 2) = 64
Let 64 = 2^6.
2^(x - 2) = 2^6
x - 2 = 6
x = 6 + 2
x = 8
Question 28
5^(x - 2) = 1/125
Let 1/125 = 125^(-1).
Let 125 = 5^3.
5^(x - 2) = (5^3)^(-1)
5^(x - 2) = 5^(-3)
x - 2 = -3
x = -3 + 2
x = -1
You say?