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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 4a <strong>–</strong> Introduction to Logarithms<br />

Mini-Lesson<br />

Problem 9 WORKED EXAMPLE - SOLVING LOGARITHMIC EQUATIONS<br />

Solve ( ) for x Original Problem Statement<br />

The logarithmic part is already isolated.<br />

Move to Step 2.<br />

Step 1: ISOLATE the logarithmic part of the<br />

equation<br />

Step 2: Change the equation to EXPONENTIAL<br />

form and<br />

Step 3: ISOLATE the variable<br />

log 3 (82-1)= log 3 (81) = 4 because 3 4 = 81<br />

(CHECKS)<br />

x = 82 (this is exact)<br />

Step 4: CHECK your result if possible<br />

Step 5: IDENTIFY the final result in EXACT form<br />

then in rounded form as indicated by the problem<br />

Problem 10<br />

MEDIA EXAMPLE - SOLVING LOGARITHMIC EQUATIONS<br />

Solve ( ) for x Original Problem Statement<br />

Step 1: ISOLATE the logarithmic part of the<br />

equation<br />

Step 2: Change the equation to EXPONENTIAL<br />

form<br />

Step 3: ISOLATE the variable<br />

Step 4: CHECK your result if possible<br />

Step 5: IDENTIFY the final result in EXACT form<br />

then in rounded form as indicated by the problem<br />

Scottsdale Community College Page 152 <strong>Intermediate</strong> <strong>Algebra</strong>

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