1 / 7

Aim: What is the common logarithms?

Aim: What is the common logarithms?. Do Now: Evaluate the following. log 10 1 log 10 10 log 10 100 log 10 1000. 5. HW: p.335 # 8,20,22,28,32,38,39,42,54,56. Any logarithm with base 10 is called common log

quasim
Download Presentation

Aim: What is the common logarithms?

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Aim: What is the common logarithms? Do Now: Evaluate the following • log10 1 • log1010 • log10 100 • log10 1000 5. HW: p.335 # 8,20,22,28,32,38,39,42,54,56

  2. Any logarithm with base 10 is called common log We can write log10 a as log a, that is if the base of a logarithm is not indicated, then its base is 10 Use calculator to find the value of common log 1. log 2.53 2. log 0.8 3. log 0 4. log -2 1. .4031 2. -.0969 3. undefined 4. undefined In log a, the value of a must be greater than 0

  3. If log x = 3.7886, find x to the nearest integer x = 103.7886 = 6146 If log a = 0.5733, find log 0.001a Use product rule: log 0.001a = log 0.001 + log a = –3 + 0.5733 = –2.4267

  4. If log N = 3.36486, find N to the nearest integer 103.36486 = 2317 Evaluate log2 6 Since the calculator does not give log base 2 ,we need to rewrite log2 6 with base 10 Use the formula

  5. Express log N in terms of log x, log y and log z

  6. If log 7.11 = b, then log 7110 equals a) 1000b b) 3b c) 3 + b d) 1000 + b log 7110 = log (7.11 • 1000) = log 7.11 + log 1000 = b + 3 The expression is equivalent to

  7. 1. Find N to the nearest tenth: log N = .6884 N = 4.9 2. Find N to the nearest tenth: log N = -0.0376 N = 0.9 3. If log x = 1.8837, find x to the nearest tenth x = 76.5 4. If log a = c, then log 100a equals a) 110c b) 2c c) 2 + c d) 2 + log c c 5. The expression is equivalent to b

More Related