3. Exponential & Logarithmic Functions

3.01 Laws of exponents

3.02 Exponential functions

Investigation: Defining Euler's number (e)

3.03 Applications of exponential functions

3.04 Inverse relationship between exponentials and logarithms

3.05 Logarithmic functions

3.06 Properties of logarithms

3.07 Exponential and logarithmic equations

3.08 Applications of logarithmic functions

Investigation: Murder mystery

United States of America

Algebra 1 - Precalculus

3.04 Inverse relationship between exponentials and logarithms

Interactive practice questions

Rewrite the equation $2^5=32$25=32 in logarithmic form.

Easy

1min

Rewrite the equation $6^x=36$6x=36 in logarithmic form.

Easy

< 1min

Rewrite the equation $9^1=9$91=9 in logarithmic form.

Easy

< 1min

Rewrite the equation $2^0=1$20=1 in logarithmic form.

Easy

< 1min

Outcomes

F.BF.B.5

(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

F.LE.A.4

For exponential models, express as a logarithm the solution to ab^(ct) = d wherea, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.

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