Warm UpSolve the equations.

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7.3 Logarithms

Let’s begin this lesson with a puzzle.

See if you can figure out the pattern and answer the following questions.

Let’s start with a SUPER FUN puzzle!

Take a guess at what these statements are saying:

Now see if you can fill in the blanks:

Logarithm Overview

What power of 6 equals 36?

What power of 2 equals 2?

What power of 10 equals

Notation

A logarithm is an exponent (a power).

Say it: ____________________

What it means:

Say it: ____________________

What it means:

InversesWhat are some familiar examples of inverses?

Exponentials also have an inverse function: ____________

The inverse of is ________Def: is the inverse of

Switching FormsChange between exponential and logarithmic equations…

Switching Forms

𝑏𝑥=𝐴𝑙𝑜𝑔𝑏 𝐴=𝑥“log form”“exponential form”↔

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ExampleWrite each equation in exponential form.

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You Try!Write each equation in exponential form.

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ExampleWrite each equation in logarithmic form.

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You Try!Write each equation in logarithmic form.

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SummaryConvert each logarithmic expression to an exponential, and convert each exponential to a logarithmic.

Solving LogsTo evaluate (solve) logarithms the first step is to convert your problem to an exponential!

Logarithm Loop

𝑙𝑜𝑔216=𝑥

ExamplesEvaluate each expression.

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ExamplesEvaluate each expression.

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You Try!Evaluate each expression.

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HOMEWORK

Lesson 7.3Pg. 472 #s 13-15, 21-23, 27-30