Provide an appropriate response.A classmate missed the lecture concerning the power rule of logarithms. When your classmate calls you on the phone for an explanation of why it works, what should you say to explain it?
What will be an ideal response?
Answers may vary. One possibility: Tell the student to do the following to prove it him/herself:
| 1) Take a logarithmic expression. | 1) logbx = a |
| 2) Convert it to exponential form. | 2) ba = x |
| 3) Raise that expression to a power. | 3) (ba) r = xr |
| 4) Use the power rule for exponents. | 4) bar = xr |
| 5) Convert back to logarithmic form. | 5) logbxr = ar |
| 6) Use the commutative property for multiplication | 6)logbxr = ra |
| 7) Substitute the original logarithmic expression. | 7) logbxr = r logbx |
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