Laws of Logarithm, Common Logarithm, and Natural Logarithm

What is expanded form of the logarithmic expression?

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What is the expanded form of the logarithmic expression?

• logₐ 2³ + logₐ x³

• ⅓ logₐ 2 + ⅓ logₐ x

• logₐ 2³ - logₐ x³

• ⅓ logₐ 2 - ⅓ logₐ x

What is the expanded form of the logarithmic expression?

• logₐ 5 - 3 logₐ a - 2 logₐ b - 4 logₐ c

• logₐ 5 + 3 logₐ a + 2 logₐ b + 4 logₐ c

• logₐ 5 + logₐ a³ + logₐ b² + logₐ c⁴

• logₐ 5 - logₐ a³ - logₐ b² - logₐ c⁴

What is the expanded form of the logarithmic expression applying the laws of logarithm?

• logₐ x³ - logₐ 5y

• logₐ x³ - logₐ 5 + logₐ y

• logₐ x³ - (logₐ 5 + logₐ y)

• 3 logₐ x - (logₐ 5 + logₐ y)

What is the simplified expression of the logarithmic expression?

• 5

• e

• ln 5

• ln e

What is the simplified expression of the logarithmic expression?

• 6

• 9

• 3

• 2

What is the simplified expression of ln e⁵¹?

• 51

• e

• ln e

• ln 51

What is the value of x in the logarithmic equation log (3x-2) = log 2?

• 4/3

• 3/4

• 2

• 2/3

What is the simplified expression of log 10?

• 10

• 0

• 1

• -1

What is the equivalent of log₄ 1/64?

• -3

• -2

• -1

• 0