Evaluating & Properties of Logarithms

Authored by Huguette Williams

Mathematics

10th Grade

CCSS covered

Used 26+ times

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16 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rewrite the following expression in logarithmic form:
$8^{\frac{2}{3}}=4$

$\log_8\left(\frac{2}{3}\right)=4$

$\log_4\left(8\right)=\frac{2}{3}$

$\log_{\frac{2}{3}}\left(4\right)=8$

$\log_8\left(4\right)=\frac{2}{3}$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Rewrite the following expression in exponential form:
$\log_5\left(\frac{1}{25}\right)=-2$

$\left(-2\right)^5=\frac{1}{25}$

$5^{\frac{1}{25}}=-2$

$5^{-2}=\frac{1}{25}$

$\left(\frac{1}{25}\right)^{-2}=5$

$\left(-2\right)^{\frac{1}{25}}=5$

Tags

CCSS.HSF.BF.B.5

FILL IN THE BLANKS QUESTION

1 min • 1 pt

What number must fill in the blank to make this equation true?
$\log_3\left(\ \ \ \ \ \ \ \ \ \ \ \right)=-3$

(a)

Tags

CCSS.HSF.BF.B.5

MULTIPLE SELECT QUESTION

1 min • 3 pts

Which of the following logarithms = 2? Select all that apply:

$\log_5\left(10\right)$

$\log\left(100\right)$

$\ln\left(e^2\right)$

$\log_2\left(2\right)$

$\log_{\frac{1}{2}}\left(\frac{1}{4}\right)$

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the following logarithm:
$\log_m\left(m^{12}\right)=?$

$m^{12}$

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

Evaluate:
$\log_6\left(1\right)=?$

(a)

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Evaluate:
$\log_2\left(16\right)=?$

(a)

Tags

CCSS.HSF.BF.B.5

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Evaluating & Properties of Logarithms

Rewrite the following expression in logarithmic form:
$8^{\frac{2}{3}}=4$

Rewrite the following expression in exponential form:
$\log_5\left(\frac{1}{25}\right)=-2$

What number must fill in the blank to make this equation true?
$\log_3\left(\ \ \ \ \ \ \ \ \ \ \ \right)=-3$

(a)

Which of the following logarithms = 2? Select all that apply:

Evaluate the following logarithm:
$\log_m\left(m^{12}\right)=?$

Evaluate:
$\log_6\left(1\right)=?$

(a)

Evaluate:
$\log_2\left(16\right)=?$

(a)

Evaluate.
3 log₂4

Write in exponential form.
log₂(¹/₈) = -3

10^log(k)=

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Evaluating & Properties of Logarithms

Rewrite the following expression in logarithmic form: 823=48^{\frac{2}{3}}=4832​=4

Rewrite the following expression in exponential form: log⁡5(125)=−2\log_5\left(\frac{1}{25}\right)=-2log5​(251​)=−2

What number must fill in the blank to make this equation true? log⁡3( )=−3\log_3\left(\ \ \ \ \ \ \ \ \ \ \ \right)=-3log3​( )=−3 (a)

Which of the following logarithms = 2? Select all that apply:

Evaluate the following logarithm: log⁡m(m12)=?\log_m\left(m^{12}\right)=?logm​(m12)=?

Evaluate: log⁡6(1)=?\log_6\left(1\right)=?log6​(1)=? (a)

Evaluate: log⁡2(16)=?\log_2\left(16\right)=?log2​(16)=? (a)

Evaluate.3 log24

Write in exponential form.log2(1/8) = -3

10log(k)=

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Rewrite the following expression in logarithmic form:
$8^{\frac{2}{3}}=4$

Rewrite the following expression in exponential form:
$\log_5\left(\frac{1}{25}\right)=-2$

What number must fill in the blank to make this equation true?
$\log_3\left(\ \ \ \ \ \ \ \ \ \ \ \right)=-3$

(a)

Evaluate the following logarithm:
$\log_m\left(m^{12}\right)=?$

Evaluate:
$\log_6\left(1\right)=?$

(a)

Evaluate:
$\log_2\left(16\right)=?$

(a)

Evaluate.
3 log₂4

Write in exponential form.
log₂(¹/₈) = -3

10^log(k)=