Properties of Logarithms

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• log₇ 3 – log₇ 2

• log₇ 2 + log₇ 3

• log₇ 2 – log₇ 3

• 3log₇ 2

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• log₄ 5 – log₄ 7

• 7 log₄ 5

• 4 log₇ 5

• 5 log₄ 7

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• log 9 + log x

• log₃ 9 + log₃ x

• log₃ 9 – log₃ x

• (log₃ 9)(log₃ x)

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• log₈ x + log₈ y + log₈ z

• 5 log₈ x + 5 log₈ y + 5 log₈ z

• log₈ xy + 5 log₈z

• log₈ x + log₈ y + 5 log₈ z

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• 1/3 log x + 2 log y + log z

• 1/3 log x + 2/3 log y + 1/3 log z

• 1/3 log x – 2/3 log y – 1/3 log z

• 3 log x + 6 log y + 3 log z

Condense

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Condense: 6 log x + 2 log 8

• log 16x⁷

• log 64x⁶

• log 16x⁶

• log 64x⁷

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

• log (a⁵ + b²⁵)
• log (a⁵ − b²⁵)
• log (ab²⁵)
• log (a⁵/b²⁵)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8