Pre-Calculus 3.06 Name: Date: Puzzling with Properties page 1/2 a Puzzling with Properties In Algebra you learned some patterns for combining exponents. Today we are going to + explore what happens when we combine logarithms a? 1. Complete the following table using your calculator. 2. Using the patterns you see in the table, complete Round answers to four decimal places the equation: log x + log y = log 3 + log 4 | og 3. How could we find the value of log 30 if the \"3\" log 3 + log 3 button is missing on our calculator? log 6 + log 3 4. Complete the following table using your calculator. 5. Using the patterns you see in the table, complete Round answers to four decimal places. the equation: log x - log y= log 10 - log 2 6. How could we find the value of log 30 if the \"3\" log 28 - log 4 button is missing on our calculator? log 3-log 6 7. A student noticed that log % gave the same result as log 2. How is this possible? 8.Saul was practicing evaluating logarithms on his calculator on Halloween. After he had finished all the calculations he was startled at the results. He was sure that a ghost has haunted his calculator and broken it. What do you think? Can you make sense of the results? Is his calculator haunted? 9. Write two more log statements that are also % log 625 = 1.398 Learning Target: Pre-Calculus 3.06 Name: Date: Puzzling with Properties page 2/2 e Discover the sum, difference, and power properties of logarithms by using inductive reasoning e Use properties of logarithms to expand or condense expressions e Identify and write equivalent logarithmic expression