Download Logarithmic Functions: Solving and Simplifying Equations and Expressions and more Assignments Pre-Calculus in PDF only on Docsity!
Math 1330 Prerequisites Topic 14 Logarithmic Functions
You should be familiar with a variety of skills from college algebra having to do with logarithmic functions.
Example 1: Write the following equation in logarithmic form.
25 = 32
Example 2: Write the following equation in logarithmic form.
1
−
Example 3: Write the following equation in logarithmic form.
e^4 = x
Example 4: Write the following equation in exponential form. log 2 64 = 6
Example 5: Write the following equation in exponential form.
log 4 8 =
Example 6: Simplify the following expression. log 39
Example 7: Simplify the following expression. log 91
Example 8: Simplify the following expression. 121 log 1111
Example 9: Simplify the following expression.
log 2
Example 10: Simplify the following expression. 4 log 5 5
Example 11: Simplify the following expression.
log 36 6
Example 17: Find the value of x in the following equation. ln x = 4
Example 18: Find the value of x in the following equation. 2 x + 3 =− 3 +log 66
Example 19: State the domain and range of the function in this graph. Determine if the function is increasing or decreasing. State the vertical asymptote.
Example 20: State the domain and range of the function in this graph. Determine if the function is increasing or decreasing. State the vertical asymptote.
