CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: log₃(x) = 6.
A. 732
B. 730
C. 728
D. 729
Correct Answer: D
x=3⁶=729.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: log₂(x) = 5.
A. 34
B. 32
C. 31
D. 33
Correct Answer: B
x=2⁵=32.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: log₄(x) = 4.
A. 256
B. 255
C. 260
D. 257
Correct Answer: A
x=4⁴=256.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: log₃(x) = 3.
A. 28
B. 27
C. 26
D. 30
Correct Answer: B
x=3³=27.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Solve: log₂(x) = 2.
A. 5
B. 6
C. 3
D. 4
Correct Answer: D
x=2²=4.
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is logb(b) for b>0, b≠1?
A. b
B. −1
C. 0
D. 1
CSS - PMS - CCE - PCS - Mathematics
Algebra
What is logb(1) for b>0, b≠1?
A. 0
B. Undefined
C. 1
D. b
CSS - PMS - CCE - PCS - Mathematics
Algebra
Which is equal to logb(Mᵏ)?
A. (logb M)ᵏ
B. logb(kM)
C. k logb M
D. logb M + k
Correct Answer: C
Power law.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Which logarithm law is correct for a quotient?
A. logb(M⁄N)=logb M-logb N
B. logb(M⁄N)=logb M+logb N
C. logb(M⁄N)=logb M⁄logb N
D. logb(M⁄N)=M-N
Correct Answer: A
Quotient law.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Which logarithm law is correct?
A. logb(M+N)=logb M+logb N
B. logb(M⁄N)=logb M+logb N
C. logb(MN)=logb M·logb N
D. logb(MN)=logb M+logb N
Correct Answer: D
Product law.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₁₀(100000).
A. 6
B. 100000
C. 10
D. 5
Correct Answer: D
10⁵=100000.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₁₀(10000).
A. 4
B. 10
C. 5
D. 10000
Correct Answer: A
10⁴=10000.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₁₀(1000).
A. 1000
B. 3
C. 10
D. 4
Correct Answer: B
10³=1000.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₁₀(100).
A. 10
B. 2
C. 100
D. 3
Correct Answer: B
10²=100.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₁₀(10).
A. 0
B. 10
C. 2
D. 1
Correct Answer: D
10¹=10.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₅(125).
A. 125
B. 4
C. 5
D. 3
Correct Answer: D
5³=125.
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₅(25).
A. 5
B. 2
C. 3
D. 25
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₄(64).
A. 0
B. 64
C. 4
D. 3
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₄(16).
A. 2
B. 16
C. 3
D. 4
CSS - PMS - CCE - PCS - Mathematics
Algebra
Evaluate log₃(81).
A. 4
B. 3
C. 81
D. 5