A28­5NotesPart1.notebook November 09, 2015 Algebra 2 Ch.8 Notes Page 49 P49 8­5 Exponential & Logarithmic Equations (Part 1) Aug 19­6:20 AM Exponential Equations An equation of the form bcx = a, where the exponent includes a variable, is an Exponential Equation. If m and n are positive and m = n, then log m = log n m n 3x = 4 73x = 20 Nov 20­7:28 AM 1 A28­5NotesPart1.notebook November 09, 2015 62x = 1500 Dec 1­10:06 AM Solving Exponential Equations by Graphing 62x = 1500 Find the Intersection Point. X = ? You might have to adjust the viewing window to see where they intersect. Nov 20­7:29 AM 2 A28­5NotesPart1.notebook November 09, 2015 2(1.5)x = 6 Dec 1­10:09 AM Zoology Example The US population of Bighorn Sheep was 1170 in 1971. The population was 335 by 1999. What year might only five Bighorn Sheep remain in the US if the decay rate remains constant? 1971 = year 0 Put the data into a list (0, 1170) and (28, 335) Use Exponential Regression to get the equation. Y = 1170 x .9563x Nov 20­7:30 AM 3 A28­5NotesPart1.notebook November 09, 2015 HW #51 8­5 P464 #2,3,6,7,10,11,13,14,17,18,24 Please put your name and class period at the top of the homework. Also include the homework number. Aug 19­6:25 AM Solving Exponential Equations by Tables Solve to the Nearest 100th 2(1.5)x = 6 Get everything on one side. Enter 2(1.5)x ­ 6 Look for Sign Change Nov 20­7:30 AM 4