University:
University of North Georgia
Course:
MATH 1001 | Quantitative Skills and Reasoning
Academic year:

2021
Views:

343

Pages:

2
Author:

SpaceCadet101

Advanced Math WARM UP 22 32 42 52 62 4.3 Logarithmic & Exponential Functions Name: Please find the following: = = = = = 72 = 82 = 92 = 102 = 112 = 23 33 43 53 63 = = = = = 24 34 44 54 25 35 45 55 = = = = NOTES If 𝑥 > 0 and 𝑏 ≠ 1 The exponential form of 𝑦 = log 𝑏 𝑥 is ____________________ The logarithmic form of 𝑏 𝑦 = 𝑥 is ____________________ Example 1: Write each equation in its exponential form. Logarithmic Form 2 = log 3 9 3 = log 4 64 5 = log 2 32 6 = log(2𝑥 − 3) Exponential Form Example 2: Write each equation in its logarithmic form. Assume 𝑦 > 0 and 𝑏 > 0. Logarithmic Form Exponential Form 92 = 81 53 = 125 72 = 49 Common Log Natural Log Basic Logarithmic Properties log 𝑏 𝑏 = log 𝑏 1 = log 𝑏 𝑏 𝑥 = ln 𝑒 = ln 1 = ln 𝑒 𝑥 = = = = = Example 3: Write each equation in its exponential form. Logarithmic Form 3 = ln 𝑥 4 = ln 𝑒 4 5 = ln 𝑥 Exponential Form Example 4: Write each equation in its logarithmic form. Assume 𝑦 > 0 and 𝑏 > 0. Logarithmic Form Exponential Form 102 = (𝑥 + 5) 𝑒3 = 𝑥 − 4 1 2−4 = 16 Example 5: Evaluate each logarithm without a calculator. a. log 5 25 b. log 3 9 c. log 2 1 d. log 5 54 e. ln 𝑒 7 f. log 10−3 g. log 4 64 h. log 2 ( ) k. log 10−8 m. log 5 ( HW: 1 8 1 ) 125 Section 4.3 Ex. 5b. 2 j. ln 𝑒 𝜋 Ex. 5g. 3 (1) Finish Example 5 Ex. 5j. 𝜋 Ex. 5k. −8 n. log 7 49 (2) Pg. 366 #1-23 odds, 25, 27, 28, 29, 30, 31, 32 Ex. 5m. −3 Ex. 5n. 2 28. 0 30. 1 32. 6

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