Logarithmic Functions: Solving Equations and Finding Values, Study notes of Algebra

Solutions to various problems related to logarithmic functions, including changing exponential expressions to logarithmic form, finding logarithmic values, and determining the domain of functions. Additionally, it includes equations to be solved in college algebra.

Typology: Study notes

2011/2012

Uploaded on 12/31/2012

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Lesson
Logarithmic Functions
Chan
g
e the exponential expression to an equivalent expression involvin
g
a lo
g
arithm.
1) 53 = 125
2) 45
/
2 = 32
3) 5x = 125
Chan
g
e the lo
g
arithmic expression to an equivalent expression involvin
g
an exponent.
4) log21
8 = -3
5) log5x = 2
6) logb 49 = 2
3
Find the exact value of the lo
g
arithmic expression.
7) log7 1
49
8) log11 1
9) log1/3 9
10) ln e12
Find the domain of the function.
11) f(x) = ln(2 - x)
12) f(x) = log10 x + 9
x - 9
13) f(x) = ln x
CollegeAlgebra
pf3

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Lesson

Logarithmic Functions

Change the exponential expression to an equivalent expression involving a logarithm.

3) 5x = 125

Change the logarithmic expression to an equivalent expression involving an exponent.

4) log 2

5) log 5 x = 2

6) logb 49 =

Find the exact value of the logarithmic expression.

7) log 7

8) log 11 1

9) log1/3 9

10) ln e^12

Find the domain of the function.

11) f(x) = ln(2 - x)

12) f(x) = log 10

x + 9

x - 9

13) f(x) = ln x

Solve the equation.

    1. log 2 (x + 4) =
    1. log 3 (x2 - 2x) =
    1. 3 ln 3x =
    1. 8 + 5 ln x =
    1. ln x + 7 =
    1. e5x =
    • x + 20) e
      • =