7. Exponential & logarithmic functions

7.01 Graphs and characteristics of exponential functions

Investigation: Defining Euler's number (e)

7.02 Applications of exponential functions

7.03 Inverse relationship between exponentials and logarithms

7.04 Logarithmic functions

7.05 Extension: Properties of logarithms

7.06 Exponential and logarithmic equations

7.07 Applications of logarithmic functions

Investigation: Murder mystery

United States of America TX

Algebra 2

7.05 Extension: Properties of logarithms

Interactive practice questions

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

a

$\log4+\log9$log4+log9

b

$\log_{10}\left(10\right)+\log_{10}\left(10\right)$log10(10)+log10(10)

Easy

1min

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

Easy

2min

Express $\log10x+\log10y$log10x+log10y in simplest form.

Easy

2min

Express $\log\left(\frac{pq}{r}\right)$log(pqr) as the sum and difference of log terms.

Easy

< 1min

Outcomes

A2.5.A

Determine the effects on the key attributes on the graphs of f(x) = b^x and f(x) = log_b (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for specific positive and negative real values of a, c, and d

A2.5.E

Determine the reasonableness of a solution to a logarithmic equation

A2.7.I

Write the domain and range of a function in interval notation, inequalities, and set notation

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