Logarithmic Functions Practice
Which of the following shows the expression below in logarithmic form?
3^2 = 9
| A. log92 = 3 |
| B. log32 = 9 |
| C. log39 = 2 |
| D. log93 = 2 |
Which of the following expressions shows the logarithmic equation below in exponential form?
logab = c
| A. a^b = c |
| B. a^c = b |
| C. c^a = b |
| D. b^a = c |
Evaluate the logarithmic expression.
log264
32
16
8
6
Evaluate the logarithmic expression.
log4(1/16)
-4
64
-2
2
Solve the logarithmic equation.
log3x = 0
x=0
x=1
x=3
Solve the logarithmic equation.
log5(x – 4) = 2
x = 29
x = 21
x = 14
x = 6v
Solve the logarithmic inequality.
log2 (4y – 10) ≥ log2 (y – 1)
v
Solve the logarithmic inequality.
log4 (a^2 – 6) > log4 a
| A. a < -2 or a > 3 |
| B. -2 < a < 3 |
| C. a > 3 |
D.  v |
Which of the following is not a true logarithmic equation?
| A. log4 16 = log5 25 |
| B. 2 • log3 81 = log2 256 |
| C. log5 125 – log5 25 = 0 |
| D. 4 + log3 27 = 7 |
Solve the logarithmic equation.
log7 (x^2 – 100) = log7 21x
x = -4
x = 25
x = 10
x = 25 and x = -4
