Let the function L be defined by the following rule: L(x) is the exponent to whi
ID: 3095591 • Letter: L
Question
Let the function L be defined by the following rule: L(x) is the exponent to which 2 must be raised to yield x. (For the moment, we won't concern ourselves with the domain andrange.) Then L(8) = 3, forexample, since the exponent to which 2must be raised to yield 8 is 3 (thatis, 8 = 23). Find the following outputs. Thefunction L is called a logarithmic function. Theusual notation for L(x) in this example islog2(x).L(1)
1
L(2)
2
L(4)
3
L(64)
4
L(1/2)
5
L(1/4)
6
L(1/64)
7
L(2)
8 L(x) is the exponent to which 2 must be raised to yield x. L(1)
1
L(2)
2
L(4)
3
L(64)
4
L(1/2)
5
L(1/4)
6
L(1/64)
7
L(2)
8 L(1) L(2) L(4) L(64) L(1/2) L(1/4) L(1/64) L(2)
Explanation / Answer
So basically a Log fuction is just away to solve forexponents, AKA 2x= 8 orLog28=X or X= 3 But here are the answers to your question L(1)=0 L(2)=1 L(4)=2 L(64)=6 L(1/2)=-1 L(1/4)=-2 L(1/64)=-6 L(2)= 1/2 You are just finding the exponents that you are Rasing 2 to23=8 or 26=64 Hope this help!!!Related Questions
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