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

6.06 Exponential and logarithmic equations

Interactive practice questions

Solve $x^5=3^5$x5=35.

Easy

< 1min

Solve $9^x=9^{-4}$9x=9−4.

Easy

< 1min

Solve $8^{-7}=x^{-7}$8−7=x−7.

Easy

< 1min

Solve $3^x=3^{\frac{2}{9}}$3x=329.

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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