Guest practice

REAL NUMBERS + LOGARITHMS

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What is the multiplicative inverse of 2/3?

A 3/2 B 2/3 C -2/3 D -3/2

What is the difference between rational and irrational numbers?

A Rational numbers can be expressed as p/q, irrational cannot B Rational numbers are always positive C Irrational numbers are always negative D Rational numbers are always integers

What is the characteristic of log₁₀(0.0045)?

A -2 B -3 C 2 D 3

Which property is used in 3(x + 2) = 3x + 6?

A Commutative property B Associative property C Distributive property D Identity property

Simplify: (3²)³.

A 3⁵ B 3⁶ C 3⁸ D 3⁹

Simplify log₄(16) - log₄(4).

A 1 B 2 C 0 D 4

Which of the following is an irrational number?

A 2.5 B √4 C 0.333... D √5

Express 0.0000072 in scientific notation.

A 7.2 × 10⁻⁶ B 7.2 × 10⁶ C 72 × 10⁻⁷ D 0.72 × 10⁻⁵

Simplify: log₂(8) + log₂(4).

A 4 B 5 C 6 D 7

What is the value of log₁₀(1)?

A 0 B 1 C 10 D Undefined

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