1. Warm up 2
Graph f(x) = log3 (x – 4).

2. 6-6 Properties of Logarithms
MEMORIZE tHESE!

3. Properties of Logarithms:
log 𝑏 (𝑥∙𝑦 )= log 𝑏 𝑥+ log 𝑏 𝑦
Log of a product is the sum of the logs of the factors
log 𝑏 𝑥 𝑦 = log 𝑏 𝑥 − log 𝑏 𝑦
Log of a quotient is the difference of the logs of the numerator and denominator
log 𝑏 𝑥 𝑦 =𝑦 log 𝑏 𝑥
Log of a power is the product of the exponent and the logarithm

5. Solve. Check your solutions
Solve. Check your solutions. Remember that logs cannot be taken of negative numbers or zero

6. Solve. Check your solution

7. Solve. Check your solution

8. 46. log 𝑏 −15 − log 2 −𝑏 2 +1 =1

9. logb 1 = 0 logb b = 1 logb bx = x 𝑏 log 𝑏 𝑥 =𝑥
Rules that are helpful – to see their truth, put in opposite form