MA105 College Algebra Grantham WK7 Properties of Logarithms Worksheet

Please

complete the follow problems neatly.Clearly label each problem, show all work, and use Microsoft Word’s equation editor to properly format all mathematics. Attached is the template with the total assignment.

MA105
W7Assignment
9/30/2019
Name: _______________
W7 Assignment
Please complete the follow problems neatly. Clearly label each problem, show all work, and use
Microsoft Word’s equation editor to properly format all mathematics.
1. Solve the following equations.
(a)
(b)
3𝑥+3
1
=
81
𝑒 8−2𝑥 = 𝑒 −3
(c)
(d)
𝑒 3𝑥 = 25
log 8 (3𝑥 − 10) = log 8 5
(e)
4 ln 3𝑥 = 15
2. Describe the transformation of the graph of 𝑓(𝑥) = 6𝑥 that yields the graph of(𝑥) = 6𝑥+1 .
3. For the following function 𝑓(𝑥) = log(𝑥 − 3) + 1
(a) Find the domain.
(b) Find the x-intercept.
MA105
W7Assignment
4. Use the properties of logarithms to expand: ln 𝑥 2 𝑦 2 𝑧
5. Use the properties of logarithms to condense: 3 ln 𝑥 − 2 ln(𝑥 + 1)
9/30/2019