Logarithms Flashcards
1
Q
What is the definition of a logarithm of base a?
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2
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3
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4
Q
Write 2^3=8 in log form
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5
Q
Write 2^-3 = 1/32 in log form
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6
Q
What’s the value of log2 128?
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7
Q
What are the three rules of logs?
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Counterparts to the rules of powers
8
Q
If 2loga 3 + 3loga 5 = loga k find the value of k
A
Loga 3^2 + loga 5^3 = loga k
k = (3^2*5^3) = 1125
9
Q
If 1/2loga 36 - loga 2 = loga k find the value of k
A
Loga 36^1/2 - loga 2 = loga k
k =6/2 = 3
10
Q
Given that loga y = 2loga 3 + loga 7 +3 express y in terms of a giving your answer in a form not involving logs
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11
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12
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13
Q
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c) log2 8 = 4
2^4 = 8x
16=8x
x =2
14
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15
Q
Solve to 3 sig figs:
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16
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17
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18
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19
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20
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21
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22
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