- ELEMENTARY FUNCTIONS–
805.Simplify: log 7 429 – log 7 ^27
a. 2
b.–1
c. 429
d.– 429
806.Simplify: 3 log 4 ^23 + log 427
a.–^23
b.^23
c.–^32
d.^32 807.Which of the following is equivalent to
log (2x^3 )?
a.log 2 – 3 log x
b.–log 2 + 3 log x
c.log 2 + 3 log x
d.–log 2 – 3 log x
808.Which of the following is equivalent to
log (^3) ?
a.3 + log 2 y – 4 log 2 z – 2 log 2 x
b.3 – log 2 y – 4 log 2 z+ 2 log 2 x
c.3 + log 2 y+ 4 log 2 z+ 2 log 2 x
d.3 + log 2 y+ 4 log 2 z – 2 log 2 x
809.Which of the following is equivalent to
^32 log 2 4 – ^23 log 2 8 + log 2 2?
a.log 22
b.–1
c.–2
d. 2
810.Which of the following is equivalent to
3 logb(x+ 3)–1– 2 logbx+ logb(x+ 3)^3?
a.2 logbx
b.–logbx
c.logbx(x+ 3)
d.logbx^1 (^2)
811.Which of the following is equivalent to
ln[(2x+ 1)(x^2 + 3)^4 ]?
a.^12 ln 2(x+ 1) – 4 ln (x^2 + 3)
b.ln 2 – ^12 ln (x+ 1) – 4 ln (x^2 + 3)
c.ln 2 + ^12 ln (x+ 1) + 4 ln (x^2 + 3)
d.^12 ln 2(x+ 1) + 4 ln (x^2 + 3)
812.Which of the following is equivalent to
log (^3) ?
a.2 log 3 (x) + ^12 log 3 (2x – 1)(2x+ 1)
b.2 log 3 (x) – ^32 log 3 (2x – 1)(2x+ 1)
c.2 log 3 (x) + ^12 log 3 (2x – 1) – ^32 log 3 (2x+ 1)
d.2 log 3 (x) – ^32 log 3 22 xx+–1 1
813.Which of the following is a true characteriza-
tion of the graph off(x) = ln x?
a.As the x-values decrease toward zero, the
y-values plunge downward very sharply.
b.As the x-values decrease toward zero, the
y-values shoot upward very sharply.
c.As the x-values move to the right, the
y-values decrease very slowly.
d.As the x-values move to the left, the y-values
increase very slowly.
814.What is the domain ofk(x) = log 3 (–x)?
a.(–∞,0)
b. (0,∞)
c.[0,∞)
d.the set of all real numbers
815.What is the domain ofb(x) = log 5 (x^2 + 1)?
a.(–∞,0)
b.(0,∞)
c.[0,∞)
d.the set of all real numbers
x^2 ^2 x– 1
(2x+ 1)
(^32)
^8 yz^4
x^2