Condense to a single logarithm.

log ⁡ x 64 \log\ \frac{\sqrt{x}}{64} lo g 6 4 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

log ⁡ x 4 \log\ \frac{\sqrt{x}}{4} lo g 4 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

log ⁡ 16 x 16 \log\ \frac{\sqrt{16x}}{16} lo g 1 6 1 6 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

log ⁡ ( − 4 x ) \log\ \left(-4\sqrt{x}\right) lo g ( − 4 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> )

Chapter 3 Quiz Review

Authored by Cassie Callahan

Mathematics, Physics, Chemistry

9th - 12th Grade

CCSS covered

Used 3+ times

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20 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand: log₂x⁶

xlog₂6

log₂x - log₂6

log₂x + log₂6

6log₂x

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand: log₅8x

xlog₅8

log₅8 + log₅x

log₅8 - log₅x

8log₅x

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand:

log₆y - log₆2

log₆y + log₆2

2log₆y

ylog₆2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Expand: log₈6x³y

log₈6 + log₈x - 3log₈y

3log₈6 - log₈x + log₈y

log₈6 + 3log₈x - log₈y

log₈6 + 3log₈x + log₈y

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Condense: log6 + 2logy - 5logx

log6y²x⁵

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Rewrite log₂8 = 3 in exponential form/

2⁸ = 3

2³ = 8

3² = 8

8³ = 2

When a logarithm has multiplication inside of it, it expands using ________________.

Addition

Subtraction

Multiplication

Division

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Chapter 3 Quiz Review

Expand: log2x6

Expand: log58x

Expand:

Expand: log86x3y

Condense: log6 + 2logy - 5logx

Rewrite log28 = 3 in exponential form/

When a logarithm has multiplication inside of it, it expands using ________________.

Rewrite logvn = a in exponential form.

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Expand: log₂x⁶

Expand: log₅8x

Expand: log₈6x³y

Rewrite log₂8 = 3 in exponential form/

Rewrite log_vn = a in exponential form.