Math CHP 8 Quiz Flashcards
1
Q
- a) Express m = c^n/v in logarithmic form
b) The equation d = 2/3logc(p) can also be written as
A. c^d = p^3/2
B. c^d=2p/3
C. c^2d/3=p
DD. c^3d/2 = p
A
a) logc(mv) = n
b) D
2
Q
- Using logarithm properties, evaluate, without the use of a calculator. Show all work.
a) log3 (9√243)
b) -1/4 log2 (32)
A
a) log3^5 = 5
b) -5/4
3
Q
- Express 3log3(6)-log3(8) as a single logarithm and then evaluate the expression.
A
log3(27)
4
Q
- If logb(7) = x and logb(2) = y, express logb(56b^4) in terms of x, y, and a constant
A
x+3y+4
5
Q
- Using the equation log36 x= -4y, what would the expression log6(x) equal?
A
-8y
6
Q
- An equivalent expression to
log3(5) - k + log3(x) is
A. log3(5/xk)
B. log3(5x/k)
C. log3(5x/k^3)
D. log3(gx/3^k)
A
A
7
Q
- Consider the base function y-logb(x) where b > 1. For the transformed function y + 3 = logb(-0.5x+6) determine the following:
a) Domain:
A
(-12,oo)
8
Q
- A logarithmic function is given by
f(x) = alogc(b(x-h)) + k, where a < 0,
b > 0, 0 < c < 1, h < 0, k > 0, has a domain (-4, oo). When y=f(x) is horizontally stretched by a factor of 2 about the y-axis, shifted right 3 units and up 5 units, determine the domain of the new graph after the transformation.
A
D: (-5, oo)
9
Q
- The graph of y = 3logc(x+4) is vertically reflected in the x-axis and translated 6 units up. What is the equation of the transformed image after the described transformations are applied?
A. y = -3logc(x+2)
B. y = -3logc(x+10)
C. y = 3logc (-x) + 10
D. y = -3logc(x-2)
A
A
10
Q
- The graph of f(x) = (2^-x) -4 is shown. sketch the inverse of the inverse function on the same grid and determine the following for the inverse function:
b) The equation of any asymptote.
c) Domain:
A
b) y = -4
c) x < -4
11
Q
- The x-intercept of the function f(x) = 3logb (x-12) is
A. Does not exist
B. b^-4
C. b^4
D. -9
A
C
12
Q
- The graph of g(x) is a transformation of the logarithmic function, f(x). Write the equation of g(x) in the form of
y = af (b(x-h)) + k.
A
g(x) = -f(x) + 2
13
Q
- Determine how many years $240 needs to be invested in an account that earns 9% per annum compounded semi-annually before it increases in value to $655. Write an exponential equation that can be used to solve this problem and then solve it graphically. Round your answer to 2 decimal places.
A
2.92 years
14
Q
- The point (1/36, -2) is on the graph of the logarithmic function f(x) = logc(x). The point (m, 216) is on the graph of the inverse, y=(f^-1)(x). Determine the value of m
A
M = 3
15
Q
- Solve algebraically for the exact value
b) 6^x = 5(2)^x-8
A
b) x = log3 - 8log3 / log6 - log3
