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limit, calculus quiz, Cheat Sheet of Mathematics

Mathematics

limit, calculus quizlimit, calculus quizlimit, calculus quiz

Typology: Cheat Sheet

2024/2025

Uploaded on 09/26/2025

whdbghd001
whdbghd001 🇰🇷

3 documents

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Math 220 Worksheet 3B
Logarithmic Functions −Section 1.5
1. Evaluate the following logarithmic expressions.
(a) log 1
3(9) (b) log10(0.00001) (c) log7(343)
2. Rewrite the expression as a single logarithm: 1
2ln x+ 3 ln(2x)−4 ln(y).
3. Solve for xfor the following logarithmic equations.
(a) x=e1+ln (1−x)
(b) log4√−x−2 - log4(x+ 2) = log4(1)
pf3

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Math 220 Worksheet 3B

Logarithmic Functions − Section 1.

  1. Evaluate the following logarithmic expressions.

(a) log 1 3

(9) (b) log 10 (0.00001) (c) log 7 (343)

  1. Rewrite the expression as a single logarithm: 1 2 ln x + 3 ln(2x) − 4 ln(y).
  2. Solve for x for the following logarithmic equations.

(a) x = e 1+ln (1−x)

(b) log 4

−x − 2 - log 4 (x + 2) = log 4 (1)

  1. Given the function f (x) = 2 − ln(x − 1), answer the following parts.

(a) State the domain and range for f (x) in interval notation.

(b) Find f −^1 (x) and state its domain and range in interval notation.

(c) Using a proper sequence of transformations, sketch a rough graph of g(x) and g − 1 (x) on the same set of axes. For

each function, clearly label any asymptotes, and clearly label at least two points on each graph

(d) Based on your graph above, what line are the functions symmetric over?