Let the function L be defined by the following rule: L(x) is the exponent to which 2 must...

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 and range.) Then L(8) = 3, for example, since the exponent to which 2 must be raised to yield 8 is 3 (that is, 8 = 23). Find the following outputs.

(a) L(1)

(b) L(2)

(c) L(4)

(d) L(64)

(e) L(1/2)

(f) L(1/4)

(g) L(1/64)

(h)

The function L is called a logarithmic function. The usual notation for L(x) in this example is log2 x. Logarithmic functions will be studied in Chapter 5.