Section 23966(8:30-10) Assignment 023 Grading ID Form A
Section 23950 (11:30-1)
1. Find the exponential function of the form f ( x ) = a x which
passes through the points (0 ,1) and (3,64 ) .
A. f ( x ) = 2 x
2.
C. f ( x ) = 3 x
D. f ( x ) = 4 x
Write log6 ( x ) = y in exponential form.
A. x = y 6
3.
B. f ( x ) = 4 3 x
B. x 6 = y
C. 6 x = y
D. x = 6 y
Write 9 x = 81 in logarithm form.
A. logx 81 = 9
B. log9 x = 81
C. log9 81 = x
D. logx 81 = 9
4. Evaluate the given expression if it is defined. Otherwise,
state that it is undefined.
⎛ 1 ⎞
log8 ⎜
⎟
⎝ 64 ⎠
1
A. undefined B. 8
C.
D. − 2
8
5. Evaluate the given expression if it is defined. Otherwise,
state that it is undefined.
log9 (9)4
A. 0
B. 1
C. 9
D. 4
6. Evaluate the given expression if it is defined. Otherwise,
state that it is undefined.
ln(−5)
A. undefined
B. 0
C. 1
D. 5
Section 23966(8:30-10) Assignment 023 Grading ID Form A
Section 23950 (11:30-1)
7. Evaluate the given expression if it is defined. Otherwise,
state that it is undefined.
2log2 (6)
A. undefined
B. 6
C. 1
D. 0
8. Find the value of x given that log4 ( x + 2) = 2 .
A. Undefined
C. 16
B. − 2
D. 14
9. Find the range f ( x ) = log3 ( x + 1) + 6 .
A.
(0, ∞ )
B. (− ∞ , ∞ )
C.
(6, ∞ )
D.
(− 1.∞ )
10. Find the domain of f ( x ) = log5 (8 − 9x )
⎛8 ⎞
A. ⎜ , ∞ ⎟
⎝9 ⎠
8⎞
⎛
B. ⎜ − ∞ , ⎟
9⎠
⎝
11. Rewrite log2
C.
(− ∞ , ∞ )
9⎞
⎛
D. ⎜ − ∞ , ⎟
8⎠
⎝
x 2 ( x − 3)
so that your answer does not
x 4 (x + 4)
contain logarithms of product, quotient or power.
A. 2 log2 x + log2 ( x − 3) − 4 log2 x + log2 ( x + 4 )
B. log2 x2 − log2 ( x − 3) + log2 x 4 − log2 ( x + 4 )
C. 2 log2 x + log2 ( x − 3) − 4 log2 x − log2 ( x + 4)
D. 2 log2 x + log2 ( x − 3) + 4 log2 x − log2 ( x + 4)
12. Solve for x: log2 ( x ) + log2 ( x − 4) = log2 (12)
A. − 2
B. − 2 ,6
C. 6
D. 2