Number of bacteria (log 10 X)

Nov 13, 2014

20 likes | 74 Views

A. Ct. Number of bacteria (log 10 X). Fig. S1A. B. Ct. Number of bacteria (log 10 X). Fig. S1B.

Share Presentation

Embed Code

Link

number
bacteria log 10

fredericka-griffith

Download Presentation

Number of bacteria (log 10 X)

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

A Ct Number of bacteria (log10X) Fig. S1A.
B Ct Number of bacteria (log10X) Fig. S1B.

Security of Number Theoretic Public Key Cryptosystems against Random Attack

Security of Number Theoretic Public Key Cryptosystems against Random Attack Paper by: Rob Blakley and G.R. Blakley Presentation by: Jason Bourg Historical Aspect Paper written in 1978 Then 0 < log(p) < 19,937 4.3 x 10 6001 Now 0 < log(p) < 13,466,917 2 144000 = 2.0 x 10 43348

521 views • 23 slides

5.5 Properties and Laws of Logarithms

5.5 Properties and Laws of Logarithms. Do Now: Solve for x . x = 3. x = 1/3. x = 6. x = 12. Consider some more examples…. Without evaluating log (678), we know the expression “means” the exponent to which 10 must be raised in order to produce 678. log (678) = x  10 x = 678.

754 views • 12 slides

The Laws of Logs

The Laws of Logs. Multiplication Law. Investigate Any relationships?. Rewriting as powers. write as logs. Proving the Multiplication Law. Log 10 x = b. Log 10 y = c. simplify. xy = 10 b x 10 c. The Multiplication Law. Log a x + Log a y = Log a xy. The Division Law. Investigate

465 views • 8 slides

Logarithm (log)

Logarithm (log). How do we know that 10 log 10 1000 = 10 x 3 ? Logarithmic and Exponential Functions Logarithmic and exponential functions are inverses of each other: If y = log b x then x = b y In words, log b x is the exponent you put on base b to get x . lol So,

849 views • 2 slides

Physics of Sound

Physics of Sound. Logarithms. Do you know how to use your calculator? Find the following functions + , - , x , / , ^ , log The log is the exponent to which 10 is raised, representing a number. Antilogarithm. The antilog is 10 raised to the x power, or 10 x. Logarithms.

1.04k views • 49 slides

Rules of Logs

1: A log with no base has a base of 10 Ex: log 100 = 2  log 10 100 = 2  100 = 10 2 2: Domain of logs log (~)  ~ > 0 Ex: log (x+3)  x+3 > 0  x > -3 3: Log a A x = x Ex: log 3 3 4  4

1.37k views • 19 slides

Warm Up

Warm Up. Solve the following without graphing. x =3 x =2.5 x =-3 x =3 Cant be done…. Investigation. What is the exponent? 10 x = 1 10 x = 10 10 x = 100 10 x = 1000 10 x = 10000 The log button on the calculator is log base 10. Calculate the following Log 1 Log 10 Log 100

276 views • 9 slides

Lesson 3 - Logs and Levels

Lesson 3 - Logs and Levels. Math Prereqs. Examples. Without using your calculator, find the following: (log 10 (2) = 0.30) log 10 (10 -3 ) = log 10 (1 x 10 12 ) = log 10 (2 x 10 12 ) = log 10 (200) = log 10 (200) - log 10 (10) = log 10 (2 10 ) = . -3, 12, 3.6, 2.3, 1.3, 3 .

349 views • 20 slides

Properties of Logarithms

Properties of Logarithms. Section 3.3. 3.3 PROPERTIES OF LOGARITHMS. Change of base formula: log a x = log b x / log b a = log x / log a = ln x / ln a Evaluate log 9 1043. log 10 1043 / log 10 9 log 1043 / log 9 3.1630 Evaluate using ln: log 9 1043.

219 views • 8 slides

The Growth of Functions

The Growth of Functions. Rosen 2.2. log z (xy) log z (x/y) log z (x y ) If x = y If x < y log z (- | x | ) is undefined. = log z (x) + log z (y) = log z (x) - log z (y) = ylog z (x) then log z (x) = log z (y) then log z (x) < log z (y). Basic Rules of Logarithms.

640 views • 36 slides

pH of Common Substances

pH of Common Substances. Timberlake, Chemistry 7 th Edition, page 335. Calculating pH. pH = -log [H + ] So if [H + ] = 1x10 -5 pH = - log ( 1x10 -5 ) = 5 Calculate the pH if [H + ] = 1 x 10 -2 M pH = [H + ] = 3.0 x 10 -6 M pH = [H + ] = 8.2 x 10 -6 M pH =.

227 views • 7 slides

Exponential and Logarithmic Functions

y = 10 x. y = x. y = log 10 x. Exponential and Logarithmic Functions. The exponential function y = 10 x has an inverse. log 10 x (pronounced log base 10) is called : the inverse function of y = 10 x. The inverse function is always a reflection in the line y = x.

269 views • 7 slides

Rules for Logarithms

Rules for Logarithms. Rules for Exponents. log(AB) = log(A) + log (B) log (A/B) = log(A) – log(B) log(A P ) = P◦log(A) log(1) = 0. x A ◦ x B = x (A+B) x A /x B = x (A-B) (x A ) B = x (A◦B) x 0 = 1. logarithms and exponentials are inverse functions. log(A)=B means A=10 B

2.36k views • 2 slides

Properties Continued

Properties Continued. 5 – Product Law: log c mn = log c m + log c n. Simplify: log 3 10 + log 3 2. log 3 (10 . 2). log 3 (20). log20 log3. = 2.73. Example. Solve for x: log 2 2 + log 2 5 = x log 2 (2x5) = x log 2 10 = x log10 = x log2 3.32 = x.

373 views • 15 slides

5.1

5.1. LOGARITHMS AND THEIR PROPERTIES. What is a Logarithm?. If x is a positive number, log x is the exponent of 10 that gives x . In other words, if y = log x then 10 y = x. log 100 = 2 because 10 2 = 100.

340 views • 12 slides

Lesson 3 - Logs and Levels

359 views • 20 slides

Section 5.5

Section 5.5. Logarithmic Functions. Common Logarithm:. log x = a iff 10 a = x ex: log 100. Other Logarithms:. Bases other than 10 can be used: log b x = a iff b a = x log e x = k can be written as: ln x = k iff e k = x

225 views • 11 slides

Number of moles

Number of items Molecules, atoms, etc. Number of items Molecules, atoms, etc. #. #. # = n x 6.022 x 10 23. # = n x 6.022 x 10 23. #. #. n =. n =. 6.022 X 10 23. 6.022 X 10 23. Number of moles. Number of moles. n. n. mol. mol. Mole to Mole. m. m. n =. n =. M.M. M.M.

113 views • 1 slides

5.5 Properties and Laws of Logarithms

5.5 Properties and Laws of Logarithms. Do Now: Solve for x. x = 3. x = 1/3. x = 6. x = 12. Consider some more examples…. Without evaluating log (678), we know the expression “means” the exponent to which 10 must be raised in order to produce 678. log (678) = x  10 x = 678.

384 views • 12 slides

EXAMPLE 5

log. log. log. a. b. 25 x. 10 log 4. 5. 5. 5. 4. a. 10 log 4. =. b. log x. = x. b. (. ). log. 25 x. b. =. 5 2. x. 5. 5 2 x. =. 2 x. =. b x. log. = x. b. EXAMPLE 5. Use inverse properties. Simplify the expression. SOLUTION.

68 views • 5 slides

Pre-calc w-up 4/10-11

Pre-calc w-up 4/10-11. Write the equation log e 13.7 = x in exponential form Write the equation (1/4) -4 = 256 in log form Evaluate the expression log 4 4 3 Solve log 2 x + log 2 10 = log 2 70. 11.5 Common Logarithms. A common logarithm is a logarithm with a base of 10. log 10 x = logx.

113 views • 9 slides

More Related