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Intermediate Algebra – Student Workbook – Second Edition 2013

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

Mini-Lesson<br />

Logarithmic and Exponential Form<br />

In order to work effectively with LOGARITHMS, and soon with LOGARITHMIC<br />

EQUATIONS, you will need to get very comfortable changing from logarithmic form to<br />

exponential form and vice versa.<br />

LOGARITHMIC FORM: Log b x = y<br />

EXPONENTIAL FORM: b y = x<br />

THESE FORMS ARE EQUIVALENT.<br />

Rewrite the above for practice and brain muscle memory!<br />

is<br />

equivalent<br />

to<br />

Note: When you write expressions involving logarithms, be sure the base is a SUBSCRIPT and<br />

written just under the writing line for Log. Pay close attention to how things are written and what<br />

the spacing and exact locations are.<br />

Problem 6 YOU TRY <strong>–</strong> EXPONENTIAL AND LOGARITHMIC FORMS<br />

Complete the table filling in the missing forms for a) and c) using the relationship between<br />

Exponential and Logarithmic forms. Refer to parts b) and d) as examples.<br />

Exponential Form<br />

Logarithmic Form<br />

a) 3 4 = 81<br />

b)<br />

6 -2 = 1<br />

36<br />

c)<br />

d) ( )<br />

Scottsdale Community College Page 149 <strong>Intermediate</strong> <strong>Algebra</strong>

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