In Try This 2 you used the laws of logarithms to simplify logarithms of numbers. Could the laws of logarithms be applied to logarithmic expressions with variables?
Try This 3
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- Use the laws of logarithms to expand the expression , and write it in terms of individual logarithms.
- Explain the process used and the laws of logarithms you used.
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- Write the expression as a single logarithm.
- Explain the process used and the laws of logarithms you used.
- State any restriction on the variable.
- How are the processes used in questions 1 and 2 similar or different?
Save your responses in your course folder.
In Lesson 3 you learned that the logarithm of zero or of a negative number does not produce a real number.