When you have a log expression with a number in front of it, we really need to ___________ .

make the number an exponent at the end of the log expression.

multiply it with the log expression.

subtract it from the log expression.

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Math

Logarithms

Properties Of Logarithms

Properties of Logarithms

Authored by Anthony Clark

Mathematics

11th Grade

Used 2+ times

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MULTIPLE CHOICE QUESTION

1 min • 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

MULTIPLE CHOICE QUESTION

1 min • 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

1 min • 1 pt

Use the properties of logarithms to retwrite

MULTIPLE CHOICE QUESTION

1 min • 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

MATH RESPONSE QUESTION

1 min • 1 pt

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

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

Mathematical Equivalence

MATH RESPONSE QUESTION

1 min • 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

1 min • 3 pts

Match the equivalent expressions below using properties of logarithms.

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

$\log_2n-\log_2m$

$n\log_2m$

$\log_2m\ +\ \log_2n$

$\log_2\left(mn\right)$

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

MATCH QUESTION

1 min • 1 pt

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

$3\log x+2\log y$

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

$\log x-\log y$

$\log x^3y^2$

$2\log x-3\log y$

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

$2\log x+3\log y$

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

$\log x+\log y$

$\log\left(xy\right)$

MATH RESPONSE QUESTION

1 min • 1 pt

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

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

Mathematical Equivalence

10.

MATCH QUESTION

1 min • 1 pt

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

$2\log x-3\log y$

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

$2\log x+3\log y$

$\log x^3y^2$

$3\log x+2\log y$

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

$\log x-\log y$

$\log\left(xy\right)$

$\log x+\log y$

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

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Properties of Logarithms

Write logb(xy) as two logs

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

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

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

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

Match the equivalent expressions below using properties of logarithms.

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

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

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

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Discover more resources for Mathematics

Write log_b(xy) as two logs

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

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