# Lesson Worksheet: Logarithmic Functions Mathematics • 10th Grade

In this worksheet, we will practice identifying, writing, and evaluating a logarithmic function as an inverse of the exponential function.

Q1:

If is the inverse of the function , find .

• A
• B
• C
• D
• E

Q2:

Consider the function . Find the value of .

Q3:

If is the inverse of the function , find .

• A
• B
• C
• D
• E

Q4:

Make the subject of the equation , assuming that .

• A
• B
• C
• D
• E

Q5:

Find the solution set of the equation .

• A
• B
• C
• D
• E

Q6:

The function has an inverse of the form . What are the values of and ?

• A,
• B,
• C,
• D,
• E,

Q7:

Given that the graph of the function passes through the point , find the value of .

• A20
• B1
• C
• D9
• E4

Q8:

Consider the function . If , find the value of .

Q9:

Consider the function , where is a positive real number not equal to 1. What is the domain of ?

• AAll real numbers
• B
• C
• D

Q10:

The pH of a solution is given by the formula , where is the concentration of hydrogen ions. Determine the concentration of hydrogen ions in a solution whose pH is 8.4.

• A
• B
• C
• D