Warm up 2 Graph f(x) = log3 (x – 4).

6-6 Properties of Logarithms MEMORIZE tHESE!

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

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

Solve. Check your solution

Solve. Check your solution

46. log 2 15𝑏 −15 − log 2 −𝑏 2 +1 =1

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