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6=19 .. as E} X NOV 10 L- 6 PDF Math 30-2 000 ExpLog U4L6.notebook November 10, 2022 \éxxi?‘D Exponential and Logarithmic Functions Lesson #6: W Laws of Logarltnms / Investigating the Product Law .. 3) Evaluate the following. h) Evaluate the following. I) log216+log28 L/+3=-7 n log327+log33 ’5 + I @ ii) 1082 WWW —__— 7 H) lug; ((27)(3)] I I" , c) ConirewlnlontheanswmfmmaNndh), '033 g! :@ . we W ‘H-l SQN Qlaqr' Investigating the Quotient Law 3) Evaluate the following h) Evaluate the following. 1) log116—log28 7- 3=I 1) log327-loga3 3" i 2 Q 101091?6 ’°J .12 = @ 11mg}; c) Comment on the answers from a) and b). I 03 '5 T = a . lchii- ad saw. «nu—er b aha-.3 QK‘i-Lz mu.’ _ Product and Quotient Laws ofLogarithmr The above investigations are examples of the following laws. Knmd a logl(M x N) = logJM + log_,N The Product Law a {034%} = logaM _ Iog‘N The Quotient Law can xx." Evaluate the following using the product law or quofienl law. a) logZIZ—logzii '22:? I b)log69+log68—l0362 I“ —— lojtl‘: imam} (03¢ 3‘ " leg” :3 a long; Copyright 0 by Absoiuls Value Publicationsi Tit/S back Is NOT covered by ”is Cancopy agreement, ExpLog U4L6.notebook November 10, 2022 236 Exponential and Logarithmic Functions Lesson its; laws o/lfigarithm: Aki and Anette we1e asked to use the laws of logarithms to write lngxlo + logx75 r logxl — log; as a single logarithm. Aki youped the logarithms and factored out a vl before applying the laws of logarithms. Anette chose to use the laws of logarithms from the beginning of the question. Complete both of their work, |nn,.1n + Inna: — Inn.) —— Inn.)