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Properties of Logarithms sud Change base: a = e*Ina Inverse: Algebraic: In 1-0 Product Rule: Quotient Rule: elnx In bx= b In - = x Reciprocal Rule: In x In a log, x=- In e* = A spasibno nismot enditimited I sovni and gold eno-al-sno IT S 1 In- = X Power Rule: In x' = Note: In the inverse and algebraic cases, all the properties hold true if you replace üle noltanut oiminsgol sriT & to

Properties of Logarithms sud Change base: a = e*Ina Inverse: Algebraic: In 1-0 Product Rule: Quotient Rule: elnx In bx= b In - = x Reciprocal Rule: In x In a log, x=- In e* = A spasibno nismot enditimited I sovni and gold eno-al-sno IT S 1 In- = X Power Rule: In x' = Note: In the inverse and algebraic cases, all the properties hold true if you replace üle noltanut oiminsgol sriT & to

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Properties of Logarithms aud Change base: a = e*Ina Inverse: Algebraic: In 1-0 Product Rule: Quotient Rule: eln.x Reciprocal Rule: (-1, 1/e)=(-1, 0.368). -5 In bx= b ln - = X 1 In- = x In x' = 0 -5- -5 nonnu Power Rule: nom mo edT A Note: In the inverse and algebraic cases, all the properties hold true if you replace e with a and In with loga. It is very useful to know the graph of y = In x. Below is the graph of y = ex. On the same graph: A sprei bns a nismob a. lightly sketch the graph of y = x b. sketch the graph of y = In x, labeling the important points suggest in the graph of y= ex. (2, e^2)=(2, 7.389) (0, 1) log, x=- (1, e)=(1, 2.718) In x In a In e* = 5 enditimited no-03-gno a YIT S w roktanut oimilisgol srit E to 101 to nismob to rigen ari do el (d, (x)²1=vlp rigenp shil arlt jueds MON (X) evin2.6 oprierbraun! d .a
Transcribed Image Text:Properties of Logarithms aud Change base: a = e*Ina Inverse: Algebraic: In 1-0 Product Rule: Quotient Rule: eln.x Reciprocal Rule: (-1, 1/e)=(-1, 0.368). -5 In bx= b ln - = X 1 In- = x In x' = 0 -5- -5 nonnu Power Rule: nom mo edT A Note: In the inverse and algebraic cases, all the properties hold true if you replace e with a and In with loga. It is very useful to know the graph of y = In x. Below is the graph of y = ex. On the same graph: A sprei bns a nismob a. lightly sketch the graph of y = x b. sketch the graph of y = In x, labeling the important points suggest in the graph of y= ex. (2, e^2)=(2, 7.389) (0, 1) log, x=- (1, e)=(1, 2.718) In x In a In e* = 5 enditimited no-03-gno a YIT S w roktanut oimilisgol srit E to 101 to nismob to rigen ari do el (d, (x)²1=vlp rigenp shil arlt jueds MON (X) evin2.6 oprierbraun! d .a
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