1001 Algebra Problems.PDF

816.What is the x-intercept off(x) = log 2 x?
a.(2, 0)
b.(0, 1)
c.(1, 0)
d.This function does not have an x-intercept.

Set 52 (Answers begin on page 250)

This problem set focuses on more advanced features of
logarithmic functions and solving equations and
inequalities involving logarithms.

817.The range of the function f(x) = ln(2x – 1) is
which of the following?
a.(–∞,–^12 )
b.[^12 ,∞)
c.(^12 ,∞)
d. 

818.Which of the following, if any, are x-intercepts
of the functionf(x) ln (x^2 –4x+ 4)?
a.(1, 0)
b.(3, 0)
c.both aand b
d.neither anor b

819.The domain of the function f(x) = ln (x^2 – 4x+ 4)

is which of the following?

a.(2,∞)

b.(–∞,2)

c.(–∞,2)(2,∞)

d. 

820.Which of the following is a characteristic of the
graph off(x) = ln(x+ 1) + 1?
a.The y-intercept is (e,1).
b.x= –1 is a vertical asymptote off.
c.There is no x-intercept.
d.y= 1 is a horizontal asymptote.

821.Which of the following choices for fand gare

inverses?

a.f(x) = e–xand g(x) = ln x,x> 0

b.f(x) = e^2 xand g(x) = ln x,x> 0

c.f(x) = e–xand g(x) = ln –x,x> 0

d.f(x) = e^2 xand g(x) = ln  2 x,x> 0

822.Solve: ln(x – 2) – ln(3 – x) = 1

a.^3 ee++ 12

b.3(ee++ 1 2)

c. 2

d. 3

823.Determine the solution set for the inequality

5

4 e2 – 3x+ 19.

a.2– 3 ln 2,e– 3 ^2 

b.2– 3 ln 2,^23 

c.^23 ,–2 + 3 ln 2

d.e– 3 ^2 ,–2 + 3 ln 2

824.Determine the solution set for the inequality

ln(1–x^2 ) 0.

a.(–1,0)(0,1)

b.(–∞,–1)((1,∞)

c.(–1,1)

d.[–1,1]

825.Solve: log x+ log(x+ 3) = 1

a.–2 and 5

b.2 and 5

c.–5 and 2

d. 2

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