Properties of Logarithms (condense/ expand)

Expand

• log₇ 3 – log₇ 2

• log₇ 2 + log₇ 3

• log₇ 2 – log₇ 3

• 3log₇ 2

Expand

• log₄ 5 – log₄ 7

• 7 log₄ 5

• 4 log₇ 5

• 5 log₄ 7

Expand.

• log 9 + log x

• log₃ 9 + log₃ x

• log₃ 9 – log₃ x

• (log₃ 9)(log₃ x)

Expand

• 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

Expand.

• 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

Write the expression as a single logarithm. Then simplify if possible.

log₅3 + log₅6 + log₅9

• log₅ 69

• log₅ 56

• log₅ 162

• log₅ 98

Write the expression as a single logarithm. Then simplify if possible.

log 6 – log 3 + 2 log 7

• log 98

• log 78

• log 56

• log 45

Condense

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Condense.

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Condense: 6 log x + 2 log 8

• log 16x⁷

• log 64x⁶

• log 16x⁶

• log 64x⁷