Properties of Logarithms
Expand the logarithmic expression using the product property of exponents.
log4 3y
| A. 4 log 3y |
| B. log43 + log4y |
| C. log43 • log4y |
| D. 3 log4y |
Expand the logarithmic expression using the quotient property of exponents.
log5 (15/4)
| A. log515 + log54 |
| B. log515 – log54 |
| C. log54 – log515 |
| D. log53.75 |
Expand the logarithmic expression using properties of logarithms.
log3 5x^2
A.
log3 5 + log3 x2 |
B.
2 log3 5 + log3 x |
C.
log3 5 + 2 log3 x |
D.
2(log3 5 + log3 x) |
If log6 2 ≈ 0.3869, estimate the value of log6 32.
5.3333
82.7087
1.9345
12.3808
If log4 2 = 0.5 and log4 3 ≈ 0.7925, estimate the value of log4 96.
3.2925
1.9813
1.9823
5.7925
If log6 2 ≈ 0.3869 and log6 3 ≈ 0.6131, estimate the value of log6 3/2.
0.2262
0.6311
1
-0.2262
What is log3 5 + log3^ 2 – log3 10 equal to?
A. log3 -3 |
B. -1 |
C. 0 |
D. 1 |
Solve the equation.
log2 (y + 2) – log2 (y – 2) = 1
y = 6
y = 4
y = 2, -2
y = -2
Solve the equation.
log5 64 – log5 8/3+ log5 2 = log5 (4p)
p = 15.8
p = 1 ⅓
p = 85 ⅓
p = 12
Solve the equation.
log6 (a + 2) + log6 2 = 2
a = 70
a = 2
a = 16
a = 4
