Question: 1. Complete the table. 2. Examine the results in each row. Make a conjecture about the product law for logarithms. 3. Test your conjecture by

1. Complete the table. 2. Examine the results in1. Complete the table. 2. Examine the results in1. Complete the table. 2. Examine the results in1. Complete the table. 2. Examine the results in1. Complete the table. 2. Examine the results in1. Complete the table. 2. Examine the results in
1. Complete the table. 2. Examine the results in each row. Make a conjecture about the product law for logarithms. 3. Test your conjecture by evaluating 1og5(36 x 216); and make any necessary adjustments to your original conjecture. 1. Complete the table. 2. Examine the results in each row. Make a conjecture about the quotient law for logarithms. 243 3. Test your conjecture by evaluating log 3 27 , and make any necessary adjustments to your original conjecture. Part C: Power Law 1. Evaluate each logarithm in the table below. Calculator button is log10 x. X log x 2 log 2= 4 log 4 = 8 log 8 = 16 log 16= 32 log 32 = 2. Look for a pattern in your results. How are these values log4, log8, ..related to log 2 ? 3. Make a prediction for: a. log 64 b. log 1024 4. Write a rule for the general result of log 2" .5. Repeat the analysis for powers of 3. log x 3 9 27 81 243 6. Write a rule for evaluating log 3". 7. Write a general rule for log x" for any base x > 0.\f1. Evaluate log21; log41 ; logi1 . Provide a general rule. -2 2. Evaluate log442 ; log,73 ; logi . Provide a general rule. 3. Evaluate 210924 ; 3109381 . 140914 WIH 3 . Prove a general rule

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