Exponential and Logarithmic Equations

Slides:



Advertisements
Similar presentations
Objectives Solve exponential and logarithmic equations and equalities.
Advertisements

Essential Question: What are some of the similarities and differences between natural and common logarithms.
Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.
Logarithms ISP 121.
Copyright © 2009 Pearson Education, Inc. CHAPTER 5: Exponential and Logarithmic Functions 5.1 Inverse Functions 5.2 Exponential Functions and Graphs 5.3.
Properties of Logarithms
Table of Contents Solving Logarithmic Equations A logarithmic equation is an equation with an expression that contains the log of a variable expression.
In this section we will introduce a new concept which is the logarithm
5.4 Exponential and Logarithmic Equations Essential Questions: How do we solve exponential and logarithmic equations?
Exponential and Logarithmic Equations
and Logarithmic Equations
7-5 Logarithmic & Exponential Equations
Section 3.4. Solving Exponential Equations Get your bases alike on each side of the equation If the variable is in the exponent set the exponents equal.
7.6 – Solve Exponential and Log Equations
Section 6.4 Exponential and Logarithmic Equations
Logarithmic and Exponential Equations
Table of Contents Solving Exponential Equations An exponential equation is an equation with a variable as part of an exponent. The following examples will.
Section 4.5 Exp. & Log Equations
LOGS EQUAL THE The inverse of an exponential function is a logarithmic function. Logarithmic Function x = log a y read: “x equals log base a of y”
Logarithmic Functions
Solving Equations with Logs Day 2. Solving equations with only one logarithm in it: If it is not base 10 and you can’t use your calculator, then the only.
Remember that exponential functions and logarithmic functions are inverses of each other. We will use this property to solve problems.
4.4 Solving Exponential and Logarithmic Equations.
Section 3.4 Exponential and Logarithmic Equations.
Warm up. 3.4 Solving Exponential & Logarithmic Equations Standards 13, 14.
Solving Exponential and Logarithmic Equations Section 8.6.
 If m & n are positive AND m = n, then  Can solve exponential equation by taking logarithm of each side of equation  Only works with base 10.
Solving Exponential and Logarithmic Equations Section 6.6 beginning on page 334.
1. Expand the following: 2. Condense the following: Warm-upWarm-up.
8.3-4 – Logarithmic Functions. Logarithm Functions.
Exponentials without Same Base and Change Base Rule.
Notes Over 7.1 no real 4th roots Finding nth Roots
Aim: Exponential Equations using Logs Course: Alg. 2 & Trig. Aim: How do we solve exponential equations using logarithms? Do Now:
Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.
Chapter solving exponential and logarithmic functions.
Chapter 4 – Logarithms The Questions in this revision are taken from the book so you will be able to find the answers in there.
Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.
A) b) c) d) Solving LOG Equations and Inequalities **SIMPLIFY all LOG Expressions** CASE #1: LOG on one side and VALUE on other Side Apply Exponential.
Logarithmic Functions Recall that for a > 0, the exponential function f(x) = a x is one-to-one. This means that the inverse function exists, and we call.
Trash-ket Ball Chapter 7 Exponents and Logarithms.
Solving Logarithmic Equations
Section 5.5 Solving Exponential and Logarithmic Equations Copyright ©2013, 2009, 2006, 2001 Pearson Education, Inc.
Property of Logarithms If x > 0, y > 0, a > 0, and a ≠ 1, then x = y if and only if log a x = log a y.
1 College Algebra K/DC Friday, 08 April 2016 OBJECTIVE TSW solve exponential equations. Put assignment in wire basket, please ! QUIZ: Sec. 4.4 will be.
3.4 Solving Exponential and Logarithmic Equations.
LOGARITHMIC AND EXPONENTIAL EQUATIONS Intro to logarithms and solving exponential equations.
LOGARITHMIC FUNCTIONS. LOG FUNCTIONS Exact Values Find the exact value of log 3 81 log 3 81 = x 3 x = 81 3 x = 3 4 x = 4 1.Set the equation equal to.
WECHS – 13 December  Given that log 2.72 = , approximate the following without a calculator: log 0.272, log 272, and log  How would.
Logarithmic Functions
CHAPTER 5: Exponential and Logarithmic Functions
Find the solution of the exponential equation, correct to four decimal places. e x =
Ch. 8.5 Exponential and Logarithmic Equations
Solving Exponential and Logarithmic Equations
Logarithmic Functions
nth Roots and Rational Exponents
Logs – Solve USING EXPONENTIATION
8.6 Solving Exponential & Logarithmic Equations
Change of Base.
Unit 8 [7-3 in text] Logarithmic Functions
Properties of Logarithms
Express the equation {image} in exponential form
Solving Exponential and Logarithmic Equations
7.5 Exponential and Logarithmic Equations
Logarithmic and exponential equations
Keeper #39 Solving Logarithmic Equations and Inequalities
Logarithmic Equations
Logarithmic and exponential equations
Trigonometric Equations
Definition of logarithm
Logarithmic Functions
Presentation transcript:

Exponential and Logarithmic Equations

1. Solve each exponential equation by expressing each side as a power of the same base and then equating exponents

2. Solve each exponential equation by expressing each side as a power of the same base and then equating exponents

3. Solve each exponential equation by expressing each side as a power of the same base and then equating exponents

4. Solve each exponential equation by expressing each side as a power of the same base and then equating exponents

5. Solve each exponential equation by expressing each side as a power of the same base and then equating exponents

6. Solve each exponential equation 6. Solve each exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution

7. Solve each exponential equation 7. Solve each exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution

8. Solve each exponential equation 8. Solve each exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution

9. Solve each exponential equation 9. Solve each exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution

10. Solve each exponential equation 10. Solve each exponential equation. Express the solution set in terms of natural logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution

11. Solve each logarithmic equation 11. Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original log expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation correct to 2 decimal places

12. Solve each logarithmic equation 12. Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original log expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation correct to 2 decimal places

13. Solve each logarithmic equation 13. Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original log expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation correct to 2 decimal places

14. Solve each logarithmic equation 14. Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original log expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation correct to 2 decimal places

15. Solve each logarithmic equation 15. Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original log expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation correct to 2 decimal places

16. Solve each logarithmic equation 16. Solve each logarithmic equation. Be sure to reject any value of x that is not in the domain of the original log expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation correct to 2 decimal places