LOGARITHMS

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Question 1 of 10 0% read

1. If log₁₀(2) = 0.3010, what is log₁₀(200)?

A 1.3010

B 2.3010

C 3.3010

D 0.3010

2. Express 0.0000072 in scientific notation.

A 7.2 × 10⁻⁶

B 7.2 × 10⁶

C 72 × 10⁻⁷

D 0.72 × 10⁻⁵

3. Simplify: logₐ(a³).

A 1/3

B 3

C a

D 3a

4. What is the value of logₑ(e²)?

A 1

B 2

C e

D 0

5. What is the value of log₃(27) + log₃(9)?

A 4

B 5

C 6

D 7

6. What is the value of log₂(8)?

A 2

B 3

C 4

D 8

7. Which law states that logₐ(x/y) = logₐ(x) - logₐ(y)?

A Product rule

B Quotient rule

C Power rule

D Change of base rule

8. What is the value of log₈(2)?

A 1/4

B 1/3

C 1/2

D 2

9. What is the mantissa of log₁₀(2.3) if log₁₀(2.3) ≈ 0.3617?

A 0.3617

B 0.36

C 0.17

D 0.361

10. What is log₁₀(10⁵)?

A 5

B 10

C 50

D 0.5

LOGARITHMS

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