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
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- E
Q5:
Find the solution set of the equation .
- A
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- 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
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- D
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