Assignment 24166

Express powers as factors.log3
Question 1 options:A) log36 log3x
B) log3 log3
C) log36 log3x
D) log36xSaveQuestion 2 (4 points)
Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places.log2150.6
Question 2 options:A) 3.617
B) 7.235
C) 0.138
D) 0.301SaveQuestion 3 (4 points)
Solve the equation.16x = 1
Question 3 options:A) {}
B) {0}
C) {1}
D) ∅SaveQuestion 4 (4 points)
For the given functions f and g, find the requested composite function.f(x) = , g(x) = 8x – 6;Find (f ∘ g)(x).
Question 4 options:A) 2
B) 8
C) 8 – 6
D) 2SaveQuestion 5 (4 points)
Find functions f and g so that f ∘ g = H.H(x) = ∣9x 4∣
Question 5 options:A) f(x) = -∣x∣; g(x) = 9x 4
B) f(x) = ∣x∣; g(x) = 9x 4
C) f(x) = ∣-x∣; g(x) = 9x – 4
D) f(x) = x; g(x) = 9x 4SaveQuestion 6 (4 points)
Change the exponential expression to an equivalent expression involving a logarithm.ex = 10
Question 6 options:A) logx e = 10
B) ln 10 = x
C) ln x = 10
D) log10 x = eSaveQuestion 7 (4 points)
Change the logarithmic expression to an equivalent expression involving an exponent.ln x = 6
Question 7 options:A) x6 = e
B) ex = 6
C) 6e = x
D) e6 = xSaveQuestion 8 (4 points)
Solve the equation.5x = 625
Question 8 options:A) {5}
B) {4}
C) {125}
D) {3}SaveQuestion 9 (4 points)
Find the exact value of the logarithmic expression.ln l
Question 9 options:A) 1
B) e
C) -1
D) 0SaveQuestion 10 (4 points)
Solve the equation.log42 (x2 – x) = 1
Question 10 options:A) {1, 42}
B) {-6, 7}
C) {-6, -7}
D) {6, 7}SaveQuestion 11 (4 points)
Solve the equation.ln = 2
Question 11 options:A) {e2 – 2}
B)
C) {e4 2}
D) {e4 – 2}SaveQuestion 12 (4 points)
Solve the equation.9 ln 5x = 36
Question 12 options:A)
B)
C)
D) {e4}SaveQuestion 13 (4 points)
Graph the function.f(x) = e3x – 2
Question 13 options:A)
B)
C)
D) SaveQuestion 14 (4 points)
Solve the equation.log5 (x2 – 4x) = 1
Question 14 options:A) {1}
B) {5, -1}
C) {-5, 1}
D) {5}SaveQuestion 15 (4 points)
Graph the function.f(x) = -1 ex
Question 15 options:A)
B)
C)
D) SaveQuestion 16 (4 points)
Solve the equation.3 8 ln x = 10
Question 16 options:A)
B) {e 7/8}
C)
D) SaveQuestion 17 (4 points)
Solve the equation.31 2x = 27
Question 17 options:A) {9}
B) {-1}
C) {3}
D) {1}SaveQuestion 18 (4 points)
Decide whether or not the functions are inverses of each other.f(x) = 3x 9, g(x) = x – 3
Question 18 options:A) No
B) YesSaveQuestion 19 (4 points)
Find a formula for the inverse of the function described below.A size 60 dress in Country C is size 18 in Country D. A function that converts dress sizes in Country C to those in Country D is
Question 19 options:A) f-1(x) = x 12
B) f-1(x) = 2x 12
C) f-1(x) = 2(x – 12)
D) f-1(x) = 2(x 12)SaveQuestion 20 (4 points)
Write as the sum and/or difference of logarithms. Express powers as factors.log6
Question 20 options:A) log6p log6q – log65
B) log6p ∙ log6q ÷ log65
C) log6pq – log65
D) log6p log6q – log65 Save