Properties of Logs!

Product Property

100

log₇72in its expanded form?

What is log₇ 9 + log₇ 8 (Answers may vary)

200

log₃ 4 + log₃ 7 in its condensed form?

What is log₃28

300

log₂35 in its expanded form?

What is log₂ 5 + log₂ 7

400

5log₇ w + 5log₇ u + 15log₇ v in its condensed form?

What is log₇(w^{5 .} u^{5 .} v¹⁵)

500

log₅ ²√2^.3^.7 in its expanded form?

The square root is over all the numbers.

What is ½log₅ 2 + ½log₅ 3 + ½log₅ 7

Quotient Property

100

 log₄ ⅘ in its expanded form?

What is log₄ 4 - log₄ 5

200

log₇ 3 - log₇ 8 in its condensed form?

What is log₇ ⅜

300

log₇ ⅚ in its expanded form?

What is log₇ 5- log₇ 6

400

5log₉ u - 12log₉ v in its condensed form?

What is log₉ u⁵/v¹²

500

2(log2x-log y) - (log 3 + 2log 5) in its condensed form?

What is log (4x²/75y²)

Power Property

100

log₆ 3² in its expanded form?

What is 2log₆ 3

200

9log₃ 4 in its condensed form

What is log₃ 4⁹

300

log₃ 2x⁵  in its expanded form?

What is log₃ 2 + 5log₃ x

400

7log₄ X + 4log₄ Y in its condensed form?

What is log₄ ( X^{7 .} Y⁴)

500

log₇ ((a ^. b)⁵/c)⁴ in its expanded form?

What is 20log₇ a + 20log₇ b - 4log₇ c

Guess Which Property

100

Which Property is shown below

10log₂ 5

What is the power property

200

Which property is shown below?

log₉ 8+ log₉ 5

What is the product property

300

Which property is shown below

log₆ 22

What is the change of base

400

Which property is shown below?

log₇ 11 + 3log₇ 5 + 6log₇ 3

What is the product and power property.

500

Which property is shown below?

8log₈w +8log₈ u -2log₈ v

What is the power, product and quotient property.

Change of Base

100

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log₃42

What is 3.402

200

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log₂ 2.1 

What is 4.907

300

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log₆ 22

What is 1.725

400

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log₇ 8.7

What is 1.112

500

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log₃ 62

What is 3.757