Match each to it's part. $$\log_xy=a$$

#2 - Algebra 2 Honors

Authored by Daniel CTA]

Mathematics

9th - 12th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\log_x10-\log_x2\ =$

$\log_x5$

$\log_x8$

$\log_x20$

$8\log_x$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\log_x10+\log_x2$

$\log_x20$

$\log_x12$

$\log_x5$

$12\log_x$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$2\log_x10\ =$

$\log_x100$

$\log_x20$

$\log_x12$

None of these

MATH RESPONSE QUESTION

2 mins • 1 pt

$\log_x7+2\log_x3\ =$

$\log_x\left(63\right)$

Mathematical Equivalence

MATH RESPONSE QUESTION

2 mins • 1 pt

$\frac{1}{2}\log_x144-\log_x4$

$\log_x\left(3\right)$

Mathematical Equivalence

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$2\log_x5=\log_x10$

True

False

MATH RESPONSE QUESTION

2 mins • 1 pt

Expand the logarithm.
$\log_5x^4y^2$

$4\log_5\left(x\right)+2\log_5\left(y\right)$

Mathematical Equivalence

MATH RESPONSE QUESTION

2 mins • 1 pt

Expand the logarithm.
$\log_7\left(\frac{x}{y^4}\right)$

$\log_7\left(x\right)-4\log_7\left(y\right)$

Mathematical Equivalence

OFF

MATH RESPONSE QUESTION

2 mins • 1 pt

Expand the logarithm.
$\log_{10}9x^5$

$\log_{10}\left(9\right)+5\log_{10}\left(x\right)$

Mathematical Equivalence

10.

MATH RESPONSE QUESTION

2 mins • 1 pt

Condense the logarithm.
$3\log_b5$

$\log_b\left(125\right)$

Mathematical Equivalence

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#2 - Algebra 2 Honors

log⁡x10−log⁡x2 =\log_x10-\log_x2\ =logx​10−logx​2 =

log⁡x10+log⁡x2\log_x10+\log_x2logx​10+logx​2

2log⁡x10 =2\log_x10\ =2logx​10 =

log⁡x7+2log⁡x3 =\log_x7+2\log_x3\ =logx​7+2logx​3 =

12log⁡x144−log⁡x4\frac{1}{2}\log_x144-\log_x421​logx​144−logx​4

2log⁡x5=log⁡x102\log_x5=\log_x102logx​5=logx​10

Expand the logarithm. log⁡5x4y2\log_5x^4y^2log5​x4y2

Expand the logarithm. log⁡7(xy4)\log_7\left(\frac{x}{y^4}\right)log7​(y4x​)

Expand the logarithm. log⁡109x5\log_{10}9x^5log10​9x5

Condense the logarithm. 3log⁡b53\log_b53logb​5

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$\log_x10-\log_x2\ =$

$\log_x10+\log_x2$

$2\log_x10\ =$

$\log_x7+2\log_x3\ =$

$\frac{1}{2}\log_x144-\log_x4$

$2\log_x5=\log_x10$

Expand the logarithm.
$\log_5x^4y^2$

Expand the logarithm.
$\log_7\left(\frac{x}{y^4}\right)$

Expand the logarithm.
$\log_{10}9x^5$

Condense the logarithm.
$3\log_b5$