University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2016
Views:

241

Pages:

1
Author:

Andreas Barnett

Exponential Functions, Models, and Operations with Logarithms Name Key Determine whether the model is exponential growth or decay: 1) f(x) = -2(3) growth 3) f(x) = 2( 2 decay 5) f(x) = 5 (1.7)* growth Describe the shifts that occur from f(x) to g(x) 7) f(x)=2( left 1 g(x) = 2( g(x) = 5 (1.7 +4 right, up4 Write the logarithm equation in exponential form: 11) logs 64=3 43=64 13) 1097 ()=27²=1/49 -2 log 49 12) 109108= 16344-8 14)10g: 81-434-81 logs Write the exponential equation in logarithmic form: 15) 59 = 125 log125=3 16) 8-64 10964=2 17813 109 3 14 =3 181 2)1(x)=(2)_growth 4) f(x) = 3(2) growth 6) f(x) = 2 (.23)" decay 8) f(x) = 3(2) g(x) = 3(2)(+3 up 3 10) f(x) = 2 (23) down 2 g(x) = 2 (.23)-2 18) 4° = 1 10341=0 Evaluate the logarithm using the change of base formula: 19) log, 16 log 16/10g2 = 4 20) log log9/10g 27 73 9 22) log10 1000 Tog 1000/log 10 3 21) log, 1 log 1/Лад 7 s the expression into a single or exnand into many: Use the properties of logarithms to condense the expression into a single or expand into many: 23) log x + log y log xy 24)log 8-log t log t x² 2 25) log 5log y 3 PAY 26) 25 2mx 3y²-424 In 28) 2 in x+3 Iny-4 in 24 z "logo" Vlog 5x leg 5 + log x 29) 5x 5+ X 27) ½ logx-3 logy + 5 log 30) 109 logy-log 2 31) 10g xyz_logx+logy+logz 32) 10g + √√ logX+½logy-log z Z 33) log z²² √ Blogz+4logx+½logy 2 log x 3 log y 34) 100x4 4 legx+5logy-310g z log