Quizizz 3.2_Properties of Logarithms

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Mathematics

9th - 12th Grade

CCSS covered

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MATCH QUESTION

3 mins • 3 pts

Match the equivalent expressions below using properties of logarithms.

$\log_2\left(\frac{n}{m}\right)$

$\log_2n-\log_2m$

$n\log_2m$

$\log_2m\ +\ \log_2n$

$\log_2\left(mn\right)$

$\log_2\left(m^n\right)$

MATH RESPONSE QUESTION

3 mins • 1 pt

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.
$\log_y7-\log_y4$

$\log_y\left(\frac{7}{4}\right)$

Mathematical Equivalence

MATCH QUESTION

3 mins • 5 pts

Use the Properties of Logarithms to match the following logarithmic expressions.

$3\log x+2\log y$

$\log\left(x^2y^3\right)$

$2\log x+3\log y$

$\log\left(xy\right)$

$\log x-\log y$

$\log\frac{x^2}{y^3}$

$2\log x-3\log y$

$\log\frac{x}{y}$

$\log x+\log y$

$\log x^3y^2$

MULTIPLE CHOICE QUESTION

3 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

MATCH QUESTION

3 mins • 5 pts

Match the following:
Rewrite the following in the form $\log\left(c\right)$

log(5)

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

log(0.25)

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

log(20)

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

log(25)

$2\log\left(5\right)$

log(64)

$3\log\left(4\right)$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Expand: $\log_4\left(3x^2\right)$

$2\log_43x$

$2\log_43\ +\ 2\log_4x$

$\log_43\ +\ 2\log_4x$

$2\log_43\ +\ \log_4x$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Condense: $3\ln x\ +\ 8\ln y$

$\ln\left(\frac{x^3}{y^8}\right)$

$\ln\left(x^3y^8\right)$

$24\ln\left(xy\right)$

$11\ln\left(xy\right)$

DROPDOWN QUESTION

3 mins • 2 pts

The $\ln\ e=$ (a)
The $\log10^x$ = (b)
The $\ln e^{abc}$ = (c)
The $\log_bb^{YODA}$ = (d)

abc

YODA

DARTH VADER

123

10.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

$\log_26$

$\log_250$

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

$\log_270$

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Quizizz 3.2_Properties of Logarithms

Match the equivalent expressions below using properties of logarithms.

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base. log⁡y7−log⁡y4\log_y7-\log_y4logy​7−logy​4

Use the Properties of Logarithms to match the following logarithmic expressions.

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

Match the following: Rewrite the following in the form log⁡(c)\log\left(c\right)log(c)

Expand: log⁡4(3x2)\log_4\left(3x^2\right)log4​(3x2)

Condense: 3ln⁡x + 8ln⁡y3\ln x\ +\ 8\ln y3lnx + 8lny

The ln⁡ e=\ln\ e=ln e= ​ (a) The log⁡10x\log10^xlog10x =​ (b) The ln⁡eabc\ln e^{abc}lneabc =​ (c) ​ The log⁡bbYODA\log_bb^{YODA}logb​bYODA =​ (d)

Change to Logarithmic Form:122 = 144

Rewrite as a single logarithm: log⁡260 − log⁡210\log_260\ -\ \log_210log2​60 − log2​10

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Discover more resources for Mathematics

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.
$\log_y7-\log_y4$

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

Match the following:
Rewrite the following in the form $\log\left(c\right)$

Expand: $\log_4\left(3x^2\right)$

Condense: $3\ln x\ +\ 8\ln y$

The $\ln\ e=$ (a)
The $\log10^x$ = (b)
The $\ln e^{abc}$ = (c)
The $\log_bb^{YODA}$ = (d)

Change to Logarithmic Form:
12² = 144

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