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

log ⁡ 8 ( 4 ) = 2 3 \log_8\left(4\right)=\frac{2}{3} lo g 8 ( 4 ) = 3 2

log ⁡ 8 ( 2 3 ) = 4 \log_8\left(\frac{2}{3}\right)=4 lo g 8 ( 3 2 ) = 4

log ⁡ 4 ( 8 ) = 2 3 \log_4\left(8\right)=\frac{2}{3} lo g 4 ( 8 ) = 3 2

log ⁡ 2 3 ( 4 ) = 8 \log_{\frac{2}{3}}\left(4\right)=8 lo g 3 2 ( 4 ) = 8

Evaluating Logarithms Quiz

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Math

Logarithms

Evaluating Logarithms

Authored by Leanne Lasnier

Mathematics

10th - 12th Grade

CCSS covered

Used 90+ times

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10 questions

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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

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 SELECT QUESTION

1 min • 1 pt

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

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

FILL IN THE BLANKS QUESTION

1 min • 1 pt

What number must fill in the blank to make this equation true?
$\log_{343}\left(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \right)=\frac{1}{3}$

(a)

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

45 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

FILL IN THE BLANKS QUESTION

1 min • 1 pt

Evaluate: $\log_{81}\left(27\right)=?$

(a)

10.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

$\log_4\left(\frac{1}{16}\right)=?$
Evaluate:

(a)

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Evaluating Logarithms

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

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

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

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

What number must fill in the blank to make this equation true? log⁡343( )=13\log_{343}\left(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \right)=\frac{1}{3}log343​( )=31​ (a)

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: log⁡81(27)=?\log_{81}\left(27\right)=?log81​(27)=? (a)

log⁡4(116)=?\log_4\left(\frac{1}{16}\right)=?log4​(161​)=? Evaluate: (a)

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Discover more resources for Mathematics

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

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

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

(a)

What number must fill in the blank to make this equation true?
$\log_{343}\left(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \right)=\frac{1}{3}$

(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: $\log_{81}\left(27\right)=?$

(a)

$\log_4\left(\frac{1}{16}\right)=?$
Evaluate:

(a)