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f (x) = log7 (4x + 8)
f (x) = ln(4x − 20)
f (x) = log x2 + 9x + 18
x+2
f (x) = log
x2 − 1
x2 + 9x + 18
f (x) = log
4x − 20
f (x) = ln(7 − x) + ln(x − 4)
f (x) = ln(4x − 20) + ln x2 + 9x + 18 (i) f (x) = log x2 + x + 1
(j) f (x) = 4 log4 (x) (k) f (x) = log9 (|x + 3| − 4)
√
(l) f (x) = ln( x − 4 − 3)
1
(m) f (x) =
3 − log5 (x)
√
−1 − x
(n) f (x) =
log 1 (x)
2 (o) f (x) = ln(−2x3 − x2 + 13x − 6) 3. For each function given below, ﬁnd its inverse from the ‘procedural perspective’ discussed in
Example 6.1.5 and graph the function and its inverse on the same set of axes.
(a) f (x) = 3x+2 − 4
(b) f (x) = log4 (x − 1) (c) f (x) = −2−x + 1
(d) f (x) = 5 log(x) − 2 4. Show that logb 1 = 0 and logb b = 1 for every b > 0, b = 1.
5. (Crazy bonus question) Without using your calculator, determine which is larger: eπ or π e .
6. (The Logarithmic Scales) There are three widely used measurement scales which involve
common logarithms: the Richter scale, the decibel scale and the pH scale. The computations
involved in all three scales are nearly identical so pay close a...

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