Logarithmic Function Manipulation Worksheet
Practice manipulating and solving logarithmic functions with this Grade 12 math worksheet.
Includes
Standards
Topics
Logarithmic Function Manipulation
Name:
Date:
Score:
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).
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