Properties of Logarithms

Authored by Katy Kieffer

Mathematics

9th - 11th Grade

CCSS covered

Used 880+ times

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16 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write log_b(xy) as two logs

log_bx+log_by

log_bx-log_by

log_bx*log_by

log_bx/log_by

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write log_b(x/y) as two logs

log_bx-log_by

log_bx+log_by

log_bx*log_by

log_bx/log_by

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite log_b(xⁿ)

nlog_bx

(log_bx)ⁿ

xⁿlog_bx

log_b(xⁿ)

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which property of logarithms is demonstrated below:

$\log_920\ =\ \frac{\log20}{\log9}$

Product property

Quotient property

Power property

Change of Base Property

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use the properties of logarithms to retwrite

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite as a single logarithm:
$\log3\ +\ \log7$

log 10

log 21

log 3/7

log 3/log 7

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Rewrite as a single logarithm:
$\log_260\ -\ \log_210$

$\log_26$

$\log_250$

$\frac{\log_260}{\log_210}$

$\log_270$

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use the properties of logarithms to rewrite as the sum of two logarithms:
$\log55$

log 40 + log 15

log 50 + log 5

log 11 + log 5

Tags

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

CCSS.HSF.IF.C.8

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use the properties of logarithms to rewrite as the difference of two logs:
$\log_545$

$\log_590\ -\log_52$

$\log_515-\log_53$

$\frac{\log45}{\log\ 5}$

$\log_550-\log_55$

Tags

CCSS.HSF.BF.B.5

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the logarithms below is equivalent to the following:
$2\log12$

log 10

log 6

log 24

log 144

Tags

CCSS.HSF.BF.B.5

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Properties of Logarithms

Write logb(xy) as two logs

Write logb(x/y) as two logs

Rewrite logb(xn)

Which property of logarithms is demonstrated below:﻿ log⁡920 = log⁡20log⁡9\log_920\ =\ \frac{\log20}{\log9}log9​20 = log9log20​

Use the properties of logarithms to retwrite

Rewrite as a single logarithm: log⁡3 + log⁡7\log3\ +\ \log7log3 + log7

Rewrite as a single logarithm: \log_260\ -\ \log_210log2​60 − log2​10

Use the properties of logarithms to rewrite as the sum of two logarithms: \log55log55

Use the properties of logarithms to rewrite as the difference of two logs: \log_545log5​45

Which of the logarithms below is equivalent to the following: 2\log122log12

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Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Write log_b(xy) as two logs

Write log_b(x/y) as two logs

Rewrite log_b(xⁿ)

Which property of logarithms is demonstrated below:

$\log_920\ =\ \frac{\log20}{\log9}$

Rewrite as a single logarithm:
$\log3\ +\ \log7$

Rewrite as a single logarithm:
$\log_260\ -\ \log_210$

Use the properties of logarithms to rewrite as the sum of two logarithms:
$\log55$

Use the properties of logarithms to rewrite as the difference of two logs:
$\log_545$

Which of the logarithms below is equivalent to the following:
$2\log12$