What is the result of log base b of (x times y)?

log base b of x plus log base b of y

log base b of x times log base b of y

log base b of x divided by log base b of y

log base b of x minus log base b of y

Simplify: log ⁡ 7 3 + log ⁡ 7 6 \log_73+\log_76 lo g 7 3 + lo g 7 6

log ⁡ 7 ( 1 2 ) \log_7\left(\frac{1}{2}\right) lo g 7 ( 2 1 )

Expand: log ⁡ a b \log\ ab lo g a b

log ⁡ a + log ⁡ b \log a+\log b lo g a + lo g b

log ⁡ a − log ⁡ b \log a\ -\ \log b lo g a − lo g b

Resource Library

Math

Logarithms

Module 5 T2 L2 2.2 Properties Of Log

Module 5 T2 L2 2.2 Properties of Log

Interactive Video

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Mathematics

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12th Grade

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Medium

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CCSS

HSF.BF.B.5

Standards-aligned

ANTONIO HERNANDEZ

Used 39+ times

FREE Resource

Standards-aligned

CCSS.HSF.BF.B.5

19 questions

Show all answers

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Expand

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Write log_b(xy) as two logs

log_bx+log_by

log_bx-log_by

log_bx*log_by

log_bx/log_by

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Simplify: $\log_73+\log_76$

$\log_79$

$\log_7\left(\frac{1}{2}\right)$

$\log_718$

$\log_7729$

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Rewrite log_b(xⁿ)

nlog_bx

(log_bx)ⁿ

xⁿlog_bx

log_b(xⁿ)

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Write log_b(x/y) as two logs

log_bx-log_by

log_bx+log_by

log_bx*log_by

log_bx/log_by

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

log(4x)

log4-logx

log4+logx

4logx

xlog4

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Expand: $\log\ ab$

$\log a\ -\ \log b$

$b\log a$

$a\log b$

$\log a+\log b$

MULTIPLE CHOICE QUESTION

5 mins • 5 pts

Which property of logarithms is demonstrated below:
$\log_920\ =\ \frac{\log20}{\log9}$

Product property

Quotient property

Power property

Change of Base Property

FILL IN THE BLANKS QUESTION

5 mins • 5 pts

Rewrite the following in the form $\log\left(c\right)$ :
$\log\left(5\right)+\log\left(6\right)$

(a)

10.

MATH RESPONSE QUESTION

5 mins • 5 pts

$\log_b\left(\sqrt[3]{b^4}\right)$

$\frac{4}{3}$

Mathematical Equivalence

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Module 5 T2 L2 2.2 Properties of Log

19 questions

Expand

Write logb(xy) as two logs

Simplify: log⁡73+log⁡76\log_73+\log_76log7​3+log7​6

Rewrite logb(xn)

Write logb(x/y) as two logs

log(4x)

Expand: log⁡ ab\log\ ablog ab

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

Rewrite the following in the form log⁡(c)\log\left(c\right)log(c) : log⁡(5)+log⁡(6)\log\left(5\right)+\log\left(6\right)log(5)+log(6) (a)

log⁡b(b43)\log_b\left(\sqrt[3]{b^4}\right)logb​(3b4​)

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Discover more resources for Mathematics

Write log_b(xy) as two logs

Simplify: $\log_73+\log_76$

Rewrite log_b(xⁿ)

Write log_b(x/y) as two logs

Expand: $\log\ ab$

Which property of logarithms is demonstrated below:
$\log_920\ =\ \frac{\log20}{\log9}$

Rewrite the following in the form $\log\left(c\right)$ :
$\log\left(5\right)+\log\left(6\right)$

(a)

$\log_b\left(\sqrt[3]{b^4}\right)$