Logarithmic Function Manipulation Worksheet

Practice manipulating and solving logarithmic functions with this Grade 12 math worksheet.

Grade 12 Math LogarithmsLogarithmic Function Manipulation

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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.B.3CCSS.MATH.CONTENT.HSF.LE.A.4

Topics

logarithmsfunctionsalgebragrade 12

7 sections · Free to use · Printable

Logarithmic Function Manipulation

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Date:

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Read each question carefully and show all your work. Simplify your answers where possible.

1. The logarithm of a product is the of the logarithms of the factors.

2. The logarithm of a quotient is the of the logarithms of the numerator and denominator.

3. The logarithm of a power is the times the logarithm of the base.

4. If log_b(x) = y, then the exponential form is .

5. Expand the following logarithmic expression: log_2( (x^3 * y) / z^2 )

6. Condense the following logarithmic expression: 3 log(x) + 2 log(y) - log(z)

7. Solve for x: log_3(x) = 4

x = 12

x = 81

x = 7

x = 64

8. Solve for x: log_5(x + 2) - log_5(x - 2) = 1

x = 3

x = 4

x = 5

x = 2

9. log_b(1) = 0 for any valid base b.

True

False

10. log_b(b) = 1 for any valid base b.

True

False

11. Sketch the graph of y = log_2(x). Label at least two points on the graph.

12. Describe the domain and range of the function y = log_2(x).