CW 4.3_Law of Logarithms

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Mathematics

9th - 12th Grade

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20 questions

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MATH RESPONSE QUESTION

5 mins • 1 pt

Write 2³= 8 in logarithmic form.
(Your answer should start with log.)

$\log_2\left(8\right)=3$

Mathematical Equivalence

DROPDOWN QUESTION

5 mins • 1 pt

The common logarithm has the base
(a)

-10

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

MATH RESPONSE QUESTION

5 mins • 2 pts

Expand log_b(xy).
(Rewrite it as two logs)

$\log_b\left(x\right)+\log_b\left(y\right)$

Mathematical Equivalence

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 - log₅9

log₅0

log₅56

log₅2

log₅98

MATH RESPONSE QUESTION

2 mins • 2 pts

Simplify the following expression:
$\log_3\left(48\right)-4\log_3\left(2\right)$
Please type the single log (NOT the final answer) after you combine the two terms.

$\log_3\left(3\right)$

Mathematical Equivalence

OFF

MATCH QUESTION

5 mins • 3 pts

Match the following:
Rewrite the following in the single log form

log(5)

$\log\left(4\right)-\log\left(16\right)$

log(64)

$\log\left(35\right)-\log\left(7\right)$

log(20)

$\log\left(5\right)+\log\left(4\right)$

log(.25)

$\log5+\log5$

log(25)

$\log4+\log16$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The following expression $\log_bm-\log_bn$ is equivalent to:

$\log_bmn$

$\log_b\ \frac{n}{m}$

$\log_b\ \frac{m}{n}$

$\log_bm^n$

MATH RESPONSE QUESTION

2 mins • 2 pts

To simplify the following expression:
$2\log_25-\log_250$
What is your first step?
Please type the expression you get for the first step.
Your answer should be the first step only. If there is an exponent, keep the exponent.

$\log_2\left(5^2\right)-\log_2\left(50\right)$

Mathematical Equivalence

OFF

10.

MATH RESPONSE QUESTION

5 mins • 1 pt

Rewrite the following in the single log form:
$\log\left(2\right)+\log\left(10\right)-\log\left(4\right)$

$\log\left(5\right)$

Mathematical Equivalence

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CW 4.3_Law of Logarithms

Write 23= 8 in logarithmic form. (Your answer should start with log.)

The common logarithm has the base (a)

Expand logb(xy). (Rewrite it as two logs)

Write the expression as a single logarithm. Then simplify if possible.log53 + log56 - log59

Simplify the following expression: log⁡3(48)−4log⁡3(2)\log_3\left(48\right)-4\log_3\left(2\right)log3​(48)−4log3​(2) Please type the single log (NOT the final answer) after you combine the two terms.

Match the following: Rewrite the following in the single log form

The following expression log⁡bm−log⁡bn\log_bm-\log_bnlogb​m−logb​n is equivalent to:

To simplify the following expression: 2log⁡25−log⁡2502\log_25-\log_2502log2​5−log2​50 What is your first step?Please type the expression you get for the first step. Your answer should be the first step only. If there is an exponent, keep the exponent.

Rewrite the following in the single log form: log⁡(2)+log⁡(10)−log⁡(4)\log\left(2\right)+\log\left(10\right)-\log\left(4\right)log(2)+log(10)−log(4)

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Discover more resources for Mathematics

Write 2³= 8 in logarithmic form.
(Your answer should start with log.)

The common logarithm has the base
(a)

Expand log_b(xy).
(Rewrite it as two logs)

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 - log₅9

Simplify the following expression:
$\log_3\left(48\right)-4\log_3\left(2\right)$
Please type the single log (NOT the final answer) after you combine the two terms.

Match the following:
Rewrite the following in the single log form

The following expression $\log_bm-\log_bn$ is equivalent to:

To simplify the following expression:
$2\log_25-\log_250$
What is your first step?
Please type the expression you get for the first step.
Your answer should be the first step only. If there is an exponent, keep the exponent.

Rewrite the following in the single log form:
$\log\left(2\right)+\log\left(10\right)-\log\left(4\right)$