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.

Slides:

Advertisements

Similar presentations

Logarithmic Equations Unknown Exponents Unknown Number Solving Logarithmic Equations Natural Logarithms.

Advertisements

Warm-Up. One way to solve exponential equations is to use the property that if 2 powers w/ the same base are equal, then their exponents are equal. For.

Solving Exponential Equations. One-to-One Properties.

CH. 8.6 Natural Logarithms. Write 2 ln 12 – ln 9 as a single natural logarithm. 2 ln 12 – ln 9 = ln 12 2 – ln 9Power Property = lnQuotient Property 12.

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

Use mental math to evaluate.

Objectives Write equivalent forms for exponential and logarithmic functions. Write, evaluate, and graph logarithmic functions.

7.5 E XPONENTIAL AND L OGARITHMIC E QUATIONS AND I NEQUALITIES Solve exponential and logarithmic equations and equalities. Solve problems involving exponential.

Logarithms Logs ARE EXPONENTS!! Logarithms are a way to rewrite exponential equations. They help us solve equations as well.

Logarithmic Functions y = log a x, is read “the logarithm, base a, of x,” or “log, base a, of x,” means “the exponent to which we raise a to get x.”

Example 6 Solution of Exponential Equations Chapter 5.3 Solve the following exponential equations: a. b.  2009 PBLPathways.

Objectives Solve exponential and logarithmic equations and equalities.

Logarithmic and Exponential Equations

6.6 – Solving Exponential Equations Using Common Logarithms. Objective: TSW solve exponential equations and use the change of base formula.

4.4 Solving Exponential and Logarithmic Equations.

Warm up. 3.4 Solving Exponential & Logarithmic Equations Standards 13, 14.

Academy Algebra II/Trig 6.6: Solve Exponential and Logarithmic Equations Unit 8 Test ( ): Friday 3/22.

Solving Exponential and Logarithmic Equations Section 8.6.

Solving Exponential and Logarithmic Equations Section 6.6 beginning on page 334.

Solving Log Equations  We will be using all of the properties.  You will have to figure out which ones to use and when to use them.  You will have.

6.4 – Solving Logarithmic Equations and Inequalities Objective: TSW solve logarithmic equations and inequalities.

Solving Logarithmic Equations To solve today's equations, we are going to rewrite them in exponential form and use the methods learned in the last unit.

3.4 Solving Exponential and Logarithmic Equations.

Exponentials without Same Base and Change Base Rule.

Solve a logarithmic equation

C2: Change of Base of Logarithms Learning Objective: to understand that the base of a logarithm may need changing to be able to solve an equation.

Solving Exponential Inequalities

Pg. 301/308/311 Homework Study #8right 2; x = 2#10reflect y; right 5; x = 5 #12right 4/3; up log 2 3; x = 4/3#14reflect x; left 3; down 2; x = -3 #16D:

SOLVING LOGARITHMIC EQUATIONS Objective: solve equations with a “log” in them using properties of logarithms How are log properties use to solve for unknown.

7.4 Logarithmic Functions Write equivalent forms for exponential and logarithmic equations. Use the definitions of exponential and logarithmic functions.

Solving Exponential Equations. We can solve exponential equations using logarithms. By converting to a logarithm, we can move the variable from the exponent.

Applications of Log Rules. We are just substituting in for each expression!

Properties of Logarithms Change of Base Formula:.

5.5Logarithms. Objectives: I will be able to…  Rewrite equations between exponential and logarithmic forms  Evaluate logarithms  Solve logarithms Vocabulary:

Solving Logarithmic Equations

Exponential and Logarithmic Equations

4.7 (Green) Solve Exponential and Logarithmic Equations No School: Monday Logarithms Test: 1/21/10 (Thursday)

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.

LOGARITHMIC AND EXPONENTIAL EQUATIONS LOGARITHMIC AND EXPONENTIAL EQUATIONS SECTION 4.6.

8.6 Natural Logarithms.

10.2 Logarithms and Logarithmic functions. Graphs of a Logarithmic function verse Exponential functions In RED y = 10 x.

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.

Ch. 8.5 Exponential and Logarithmic Equations

6.1 - Logarithmic Functions

Solving Exponential and Logarithmic Equations

6.4 Logarithmic & Exponential Equations

8.6 Solving Exponential & Logarithmic Equations

Packet #15 Exponential and Logarithmic Equations

Logarithmic Functions

Essential Question: How do I graph & solve exponential and logarithmic functions? Daily Question: What are the properties of logarithms and how do I use.

Solving Exponential & logarithmic Equations

Exponential Functions & Introduction to Logarithmic Functions

Logarithmic and exponential equations

5A.1 - Logarithmic Functions

Logarithmic and Exponential Equations

Solve for x: 1) xln2 = ln3 2) (x – 1)ln4 = 2

Logarithmic and Exponential Equations

3.4 Exponential and Logarithmic Equations

Solving Logarithmic Equations

6.1 - Logarithmic Functions

Warm-up!! 5/21/2019 Day 6.

7.4 Exponential & Logarithmic Equations

Logarithmic and exponential equations

Definition of logarithm

Exponential Equations

Presentation transcript:

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 thing you can do is rewrite it and solve the new exponential equation! Now use your different methods for solving exponential equations: 1.Raise both sides to reciprocal power OR 2.Change both sides to the same base OR 3.Take the log of each side

Solving equations with more than one logarithm on the same side of the equation: STEPS: 1.Use log rules to consolidate the logarithms into one logarithm 2.Rewrite in exponential form 3.Solve the resulting exponential equation using one of your methods Now check solutions, because you can’t take the log of a negative or zero! Reject any that don’t work.

Solving equations with logarithms on both sides of the equation: STEPS: 1.Use log rules to consolidate the logarithms into one logarithm (both sides if applicable) 2.Once equation is down to one log on each side of equation, drop the logs 3.Solve the resulting equation

Homework Page 10 #3,4,7,9,10