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For the following exercises, condense each expression to a single logarithm using the properties of logarithms.$$4 \log _{7}(c)+\frac{\log _{7}(a)}{3}+\frac{\log _{7}(b)}{3}$$

$\log _{7}\left(a^{1 / 3} b^{1 / 3} c^{4}\right)$

Algebra

Chapter 6

Exponential and Logarithmic Functions

Section 5

Logarithmic Properties

Functions

Campbell University

Oregon State University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:43

In mathematics, a function…

03:18

02:19

For the following exercise…

02:04

00:08

Use properties of logarith…

00:34

00:37

00:47

01:22

01:40

00:18

Apply the properties of lo…

01:49

00:45

00:41

00:09

00:23

00:12

Write as a single logarith…

02:17

00:56

00:46

Write each logarithmic exp…

01:12

00:33

So the first thing I did in this brushes I made the divided by three into 1/3 instead to basically show how we can take this first term on each of these logs and make it be the exponents of what we have here. Maybe and seek. This is just a little longer than to weaken us years. This becomes long based seven of see the fourth Oslo Bay seven of eight of the 1/3 plus Long Bay seven, the beat of the 1/3. And now, since we're adding on these logs together, when we write it his single longer than we're going to use the same base that will free up. And basically we're just gonna multiply. See the fourth by eight of the 1/3 eye view the 1/3 because that will be due in my box. This is gonna be was reading enough about border Eight of the 1/3 beat of the 1/3 seated a fork

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