Laws of Logarithms Worksheet with Answer Key

What's on the worksheet

1. Use the laws of logarithms to find each exact value.
   \log_{12} 3 + \log_{12} 48\log_7 245 - \log_7 5\log 0.5 + \log 20\log_5 3 - \log_5 75\log_6 3 + \log_6 8 + \log_6 9
2. For an allowed base b, _b 3 = p and _b 7 = q.
   \log_b 21\log_b 49\log_b \dfrac{7}{9}\log_b \dfrac{b}{7}\log_b \dfrac{1}{21}
3. Each statement is meant to hold for every allowed base b and all positive M and N.
4. A slide rule multiplies by adding lengths.
5. Let b be an allowed base and M a positive number.