Download Name

Name ______________________
Date: ___________
Logarithmic Functions HW #3
Introduction to BC Calculus Honors
Mrs. Scala/Mr. Modiano
Directions: For #1-10, solve each of the following equations for x.
1) 10 = 4e3 – 5x
2) e2x – 7ex + 10 = 0
3) log (x + 15) = 2 – log x
4) ln x + 5 = 6 + ln (2x + 3)
5) ln (x2 – 1) – 2ln (x – 1) = ln 7
6) 10 = 3e1 – 2x
7) e2x = 6ex – 8
8) log (x - 4) = 2 – log x
9) 5 ln (6x) = 20
10) ln (x2 – 1) – 2ln (x – 1) = 5
11) Find the domain of the function: f(x) = ln (x + 3) + ln (2x – 6).
12) Write the equation of a line that is perpendicular to 3x – 2y = 5 and passes through the
point (3, -1).
13) Sketch the function: f(x) = - ln (x + 3) and then state the domain and range.
14) Is x + 2 a factor of the equation 3x4 – 2x2 + 4x – 48.
___________________________________________________________________________________________________________
If pro is opposite of con, then what is the opposite of progress? – J. Modiano