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Exponential Functions Logarithms Logarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

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Page 1: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Exponential Functions

LogarithmsLogarithmsProperties of Logarithms

NaturalLogarithms

SolvingExponentialEquations

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Page 2: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

COOLCOOLExploring Exponential and

Logarithmic Functions

Chapter 4 Review

JEOPARDYPrecalc

Page 3: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Exponential Functions100

A: What is 8√15?

(8√3) √5

Page 4: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Exponential Functions 200

A: What is 25√7?

64√7 / 2√7

Page 5: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Exponential Functions 300

A: What is x = 9/7?

34x = 273-x

Page 6: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Exponential Functions 400

A: What is an n > 3?

16n > 8n+1

Page 7: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Exponential Functions 500

A: What is x = 12?

2x * 4x+5 = 42x-1

Page 8: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

LogarithmsLogarithms100

A: What is Log327 = 3?

Write 33 = 27 in logarithmic form.

Page 9: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

LogarithmsLogarithms200

A: Where is 82/3 = 4?

Write log84 = 2/3 in exponential form.

Page 10: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

LogarithmsLogarithms300

A: What is 25?

5log525

Page 11: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

LogarithmsLogarithms400

A: What is b = 4?

Solve logb64 = 3

Page 12: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

LogarithmsLogarithms500

A: What is y = 1?

Log4(log216) = y

Page 13: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Properties of Logarithms

100

A: What is log x(y^4)?

Log x + 4Log y.

Page 14: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Properties of Logarithms

200

A: What is ln x/(x^2-4)^2?

Ln x – 2[ln(x + 2) + ln(x – 2).

Page 15: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Properties of Logarithms

300

A: What is a ln x – 3ln (x^2 + 1)?

Ln x/[(x^2 + 1)^3]

Page 16: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Properties of Logarithms

400

What is 3log x – log y – 4log z?

Log (x^3)/[y(z^4)]

Page 17: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Properties of Logarithms

500

A: What is 6?

Ln(x-2) + ln(2x-3) = 2ln x

Page 18: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

NaturalLogarithms

100

A: What is 2.718?

e is approximately what number (To the nearest Thousandth)?

Page 19: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

NaturalLogarithms

200

A: What is .9858?

Ln(2.68)

Page 20: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

NaturalLogarithms

300

A: What is X = 221.4064?

Find “X” if LnX=5.4

Page 21: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

NaturalLogarithms

400

A: What is 7 ?

7Lne

Page 22: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

NaturalLogarithms

500

A: What is t = 125.2?

Given 500 = 230e-1t, What is the value of t?

Page 23: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Solving ExponentialEquations

100

A: What is 1.723?

Find the Value of Logarithmlog516 (to 3 decimal places)

Page 24: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Solving ExponentialEquations

200

A: What is 1.732?

Use Logarithm to solve Equation, 9b = 45 (to 3 decimal places)

Page 25: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Solving ExponentialEquations

300

A: What is 1.5?

Use Logarithm to solve Equation,log1664

Page 26: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Solving ExponentialEquations

400

A: What is 6.5 grams?

The half-life of radioactive radium is 1620 years. If the initial quantity is 10 grams, how much

will remain after 1000 years?

Page 27: Exponential FunctionsLogarithms Properties of Logarithms Natural Logarithms Solving Exponential Equations 100 200 300 400 500

Use Logarithm to solve Equation,7t-2 = 5t (to 3 decimal places)

Solving ExponentialEquations

500

A: What is 11.567?