6. Exponential & Logarithmic Functions

6.01 Graphs and characteristics of exponential functions

Investigation: Defining Euler's number (e)

6.02 Applications of exponential functions

6.03 Inverse relationship between exponentials and logarithms

6.04 Logarithmic functions

6.05 Extension: Properties of logarithms

6.06 Exponential and logarithmic equations

6.07 Applications of logarithmic functions

Investigation: Murder mystery

United States of America UT

Math III

6.03 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

III.F.LE.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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