'Positive real numbers' presentation slideshows

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Logarithmic Functions

Logarithmic Functions. TXVA: Not just a school, but an opportunity where every moment matters. Objectives. Convert between exponential and logarithmic expressions. Evaluate common and natural logarithms. Apply the rules of logarithms to rewrite expressions.

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Lesson 5-6

Lesson 5-6. Law of Logarithms. Remember:. Remember:. Logs are inverses of exponentials. Remember:. Logs are inverses of exponentials. Therefore, all the rules of exponents will also work for logs. Laws of Logarithms:. Laws of Logarithms:.

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Lesson 4C

Lesson 4H. Lesson 4D. Lesson 4A. Lesson 4E. Lesson 4I. Lesson 4B. Lesson 4J. Lesson 4F. Lesson 4G. Lesson 4C.

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Logarithmic Functions

Logarithmic Functions. Objective. To graph logarithmic functions To evaluate logatrithms. The inverse function of an exponential function is the logarithmic function. For all positive real numbers x and b, b>0 and b ?1, y=log b x if and only if x=b y .

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SOLUTION

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Evaluate expressions containing square roots. Classify numbers within the real number system.

Objectives. Evaluate expressions containing square roots. Classify numbers within the real number system. The radical symbol , is used to represent square roots. Positive real numbers have two square roots. Reading Math. The expression does not represent

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WARM UP

WARM UP. 3. MULTIPLE CHOICE Which function has an output of j=27 for an input of a = 3. (Lesson 1.8) j = 4a + 15 j = 15a + 4 j = 15 ? 4a j = 27a. WARM UP. 2. MULTIPLE CHOICE Which function has an output of j=27 for an input of a = 3. (Lesson 1.8) j = 4a + 15 j = 15a + 4

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Section 4.2

Section 4.2. Exponential and Logarithmic Functions. LAWS OF EXPONENTS. Laws of Exponents with General Base a : If the base number a is positive and x and y are any real numbers, then. ADDITIONAL EXPONENT LAWS. Recall that radicals can be expressed as fractional exponents. That is,.

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EXAMPLE 2

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Properties of Logarithms

Section 5.3. Properties of Logarithms. Introduction. For a > 0, b > 0, b ? 1, the equations are equivalent. Property. Section 5.3. Slide 2. Exponential/Logarithmic Forms Property. Definition. Property. For x > 0, b > 0 and, b ? 1

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Logarithmic Functions

Logarithmic Functions. What you need to know. Students are to develop an understanding of the relationship between exponential and logarithmic expressions The graph of exp(x) and log(x) are inverses of one another Graphically they are reflected along the line y=x

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Properties of Logarithms

Properties of Logarithms. Objectives: Work with the Properties of Logarithms Write a Logarithmic Expression as a Sum or Difference of Logs Write a Logarithmic Expression as a Single Log Evaluate Logarithms whose Base is neither 10 nor e. The Product Rule: The Quotient Rule:

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