Evaluate Logarithms Chapter 4.5

Review on Expanding and Condensing Condense log 9+3 log 2− log 3

Apply properties of logarithms given the following: 𝑙𝑜𝑔 4 3≈0 Apply properties of logarithms given the following: 𝑙𝑜𝑔 4 3≈0.792 and 𝑙𝑜𝑔 4 7≈1.404 𝑙𝑜𝑔 4 3 7 𝑙𝑜𝑔 4 21 𝑙𝑜𝑔 4 49

Use 𝑙𝑜𝑔 6 5≈0.898 and 𝑙𝑜𝑔 6 8≈1.161 to evaluate the following logarithms. 𝑙𝑜𝑔 6 5 8 𝑙𝑜𝑔 6 40 𝑙𝑜𝑔 6 64 𝑙𝑜𝑔 6 125

Use 𝑙𝑜𝑔 3 12≈2.262 and 𝑙𝑜𝑔 3 2≈0.631 to evaluate the following logarithms. 𝑙𝑜𝑔 3 6 𝑙𝑜𝑔 3 24 𝑙𝑜𝑔 3 32

Change of Base Formula – Pg. 260 **Allows use to evaluate any logarithm, no matter what base it has, using a calculator.

Use the change of base formula to evaluate the following logarithms. 𝑙𝑜𝑔 3 8 𝑙𝑜𝑔 5 8 𝑙𝑜𝑔 8 14 𝑙𝑜𝑔 26 9

Use the change of base formula to evaluate the following logarithms. 𝑙𝑜𝑔 12 30 𝑙𝑜𝑔 3 15 𝑙𝑜𝑔 6 17 𝑙𝑜𝑔 9 27

Practice Problems Pg. 265 #16-19