Condense into a single log: log ⁡ 3 20 − log ⁡ 3 5 \log_320-\log_35 lo g 3 2 0 − lo g 3 5

log ⁡ 3 15 \log_315 lo g 3 1 5

log ⁡ 3 100 \log_3100 lo g 3 1 0 0

log ⁡ 3 1 4 \log_3\frac{1}{4} lo g 3 4 1

Condense into a single log: log ⁡ 6 5 + log ⁡ 6 2 − log ⁡ 6 3 \log_65+\log_62-\log_63 lo g 6 5 + lo g 6 2 − lo g 6 3

log ⁡ 6 10 3 \log_6\frac{10}{3} lo g 6 3 1 0

Condense into a single log: log ⁡ 2 9 + log ⁡ 2 4 \log_29+\log_24 lo g 2 9 + lo g 2 4

log ⁡ 2 36 \log_236 lo g 2 3 6

log ⁡ 2 13 \log_213 lo g 2 1 3

log ⁡ 2 9 4 \log_2\frac{9}{4} lo g 2 4 9

Rewrite with no coefficient: 3 log ⁡ 2 3 3\log_23 3 lo g 2 3

log ⁡ 2 27 \log_227 lo g 2 2 7

Condense into a single log: 2 log ⁡ 5 3 + log ⁡ 5 2 2\log_53+\log_52 2 lo g 5 3 + lo g 5 2

log ⁡ 5 18 \log_518 lo g 5 1 8

log ⁡ 5 12 \log_512 lo g 5 1 2

log ⁡ 5 36 \log_536 lo g 5 3 6

log ⁡ 5 16 \log_516 lo g 5 1 6

Condense into a single log: log ⁡ 2 x + log ⁡ 2 7 − 2 log ⁡ 2 6 \log_2x+\log_27-2\log_26 lo g 2 x + lo g 2 7 − 2 lo g 2 6

log ⁡ 2 ( 7 x 36 ) \log_2\left(\frac{7x}{36}\right) lo g 2 ( 3 6 7 x )

log ⁡ 2 ( 14 x 6 ) \log_2\left(\frac{14x}{6}\right) lo g 2 ( 6 1 4 x )

log ⁡ 2 ( 7 x 12 ) \log_2\left(\frac{7x}{12}\right) lo g 2 ( 1 2 7 x )

Pre-Calculus - Laws of Logarithms - 1st Period

11th - 12th Grade

•

16 Qs

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Pre-Calculus - Laws of Logarithms - 1st Period

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.LE.A.4, HSF.BF.B.5, HSA.SSE.B.3

Standards-aligned

Kim Johnson

Used 152+ times

FREE Resource

16 questions

Show all answers

FILL IN THE BLANK QUESTION

1 min • 1 pt

Solve for x:
$\log_x\sqrt{6}=\frac{1}{2}$

*Hint: Rewrite as an exponential first.

Tags

CCSS.HSF.BF.B.5

FILL IN THE BLANK QUESTION

1 min • 1 pt

Condense into a single log:
log 6 + log 4

Tags

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Condense into a single log:
$\log_320-\log_35$

$\log_315$

$\log_34$

$\log_3100$

$\log_3\frac{1}{4}$

Tags

CCSS.HSF.LE.A.4

FILL IN THE BLANK QUESTION

1 min • 1 pt

Rewrite with no coefficient:
$3\log2$

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Condense into a single log:
$\log_65+\log_62-\log_63$

$\log_67$

$\log_64$

$\log_6\frac{10}{3}$

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

FILL IN THE BLANK QUESTION

1 min • 1 pt

Condense into a single log:
$3\log2-\log4$

Tags

CCSS.HSF.LE.A.4

FILL IN THE BLANK QUESTION

1 min • 1 pt

Solve for x:
$\log_7x=0$

*Hint: Rewrite as an exponential first.

Tags

CCSS.HSF.BF.B.5

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Pre-Calculus - Laws of Logarithms - 1st Period

16 questions

Solve for x:
$\log_x\sqrt{6}=\frac{1}{2}$

*Hint: Rewrite as an exponential first.

Condense into a single log:
log 6 + log 4

Condense into a single log:
$\log_320-\log_35$

Rewrite with no coefficient:
$3\log2$

Condense into a single log:
$\log_65+\log_62-\log_63$

Condense into a single log:
$3\log2-\log4$

Solve for x:
$\log_7x=0$

*Hint: Rewrite as an exponential first.

Condense into a single log:
$\log_29+\log_24$

Condense into a single log:
$\log14-\log2$

Rewrite with no coefficient:
$3\log_23$

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Pre-Calculus - Laws of Logarithms - 1st Period

16 questions

Solve for x:﻿ log⁡x6=12\log_x\sqrt{6}=\frac{1}{2}logx​6​=21​ *Hint: Rewrite as an exponential first.

Condense into a single log:log 6 + log 4

Condense into a single log: log⁡320−log⁡35\log_320-\log_35log3​20−log3​5

Rewrite with no coefficient: 3log⁡23\log23log2

Condense into a single log: log⁡65+log⁡62−log⁡63\log_65+\log_62-\log_63log6​5+log6​2−log6​3

Condense into a single log: 3log⁡2−log⁡43\log2-\log43log2−log4

Solve for x: log⁡7x=0\log_7x=0log7​x=0 *Hint: Rewrite as an exponential first.

Condense into a single log: log⁡29+log⁡24\log_29+\log_24log2​9+log2​4

Condense into a single log: log⁡14−log⁡2\log14-\log2log14−log2

Rewrite with no coefficient: 3log⁡233\log_233log2​3

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Solve for x:
$\log_x\sqrt{6}=\frac{1}{2}$

*Hint: Rewrite as an exponential first.

Condense into a single log:
log 6 + log 4

Condense into a single log:
$\log_320-\log_35$

Rewrite with no coefficient:
$3\log2$

Condense into a single log:
$\log_65+\log_62-\log_63$

Condense into a single log:
$3\log2-\log4$

Solve for x:
$\log_7x=0$

*Hint: Rewrite as an exponential first.

Condense into a single log:
$\log_29+\log_24$

Condense into a single log:
$\log14-\log2$

Rewrite with no coefficient:
$3\log_23$