Transcription of Exponential and Log Functions Worksheet
1 Exponential and Log Functions Worksheet Exponential Functions and Inverse of a Function 1. Find the inverse of ( ) 23fxx 2. Find the inverse of 4(2)xgxx Mini Lecture: If ( ) 3xfx and 1()2xgx find, a. (0)g b. ( 3)f c.(2)( 2)fg d. Graph 2xy e. Graph 3xy and its inverse 3. Graph 22yx and find its inverse and graph it. Properties of Logarithms 1. Expand 53logxyz 2. Expand 423logxyz 3. Simplify 10101021log3loglog3abc Common Logs and Natural Logs 1. Find log 2, 760 2. Find log 3. Solve 4. Simplify. a. 0e b. 1e c. lne d. ln1 e. 3lne f. 4lne g. lnte 5. If ln 2 and ln 3 , find a. ln 6 b. ln c.
2 Ln 8 Equations Containing Logs 1. Solve 3log2x 2. Solve log 4 3x 3. Solve 22log (2) log3xx 4. Solve 8log 4x Graphing Exponential and logarithmic Functions 1. Sketch the graph of the Exponential function 2xy 2. Sketch the graph of 13xy 3. Graph 2xy and its inverse 2yx 4. Graph 2logyx