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1
Which of the following correctly expresses the product law of logarithms?
A
log_a(x/y) = log_a(x) - log_a(y)
B
log_a(x + y) = log_a(x) + log_a(y)
C
log_a(xy) = log_a(x) × log_a(y)
D
log_a(xy) = log_a(x) + log_a(y)
2
Evaluate log_2(8) + log_2(4).
A
5
B
6
C
32
D
7
3
Which of the following is equivalent to log_a(x^3)?
A
log_a(3x)
B
3 log_a(x)
C
(log_a(x))^3
D
log_a(x) + 3
4
Given that log_b(2) ≈ 0.693 and log_b(3) ≈ 1.099, find the approximate value of log_b(6).
A
1.792
B
1.099
C
0.406
D
0.693
5
Which of the following statements about the change of base formula is correct?
A
log_a(x) = log_b(x) + log_b(a)
B
log_a(x) = log_b(a) / log_b(x)
C
log_a(x) = log_b(x) / log_b(a)
D
log_a(x) = log_b(x) × log_b(a)