Question
Use the definition of logarithm to simplify each expression.
log6b(6b)
log8b((8b)^6)
log12b((12b)^-11)
log6b(6b)
log8b((8b)^6)
log12b((12b)^-11)
Answers
Steve
By definition, log<sub>n</sub>n = 1
log<sub>6b</sub>6b = 1
log<sub>8b</sub>(8b)<sup>6</sup> = 6log<sub>8b</sub>8b = 6
log<sub>12b</sub>(12b)<sup>-11</sup> = -11log<sub>12b</sub>12b = -11
log<sub>6b</sub>6b = 1
log<sub>8b</sub>(8b)<sup>6</sup> = 6log<sub>8b</sub>8b = 6
log<sub>12b</sub>(12b)<sup>-11</sup> = -11log<sub>12b</sub>12b = -11