Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

Write the given expression as a sum of logarithms.$$\ln x^{3} y^{4} z^{5}$$

$$3 \ln x+4 \ln y+5 \ln z$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:45

Write the given expression…

01:10

01:03

00:44

Write the logarithms as $a…

01:26

Write the given logarithm …

01:50

00:39

Expand the logarithms as s…

00:48

02:38

Express in terms of logari…

00:34

Write logarithm as a sum. …

01:17

01:06

Condense the expression to…

all right. So as we look at this problem, we're looking at X cubed y to the fourth, dizzy to the fifth s. So the first thing with logs and the law of logs is any time you're multiplying, you can split up these logs with addition that is a law of logs. And then the second part of the shortcut here is a within a law of logs is anytime you have an exponents to move that exponents in front, here's an exponent to move in front. Here's an excellent to move in front. So we're already ready for a final answer is three natural log of X plus four natural log of Y plus five natural log of Z. Circle that in green and we are ready to move on.

View More Answers From This Book

Find Another Textbook

01:31

Write the given expression in logarithmic format.$$(9 / 16)^{3 / 2}=27 /…

01:21

Use $\log 2=0.3010$ and $\log 5=0.6990$ and the properties of logarithms to …

01:47

Show that any smooth even function has a relative extremum at its $y$ -inter…

01:32

Write the given expression as a sum of logarithms.$$\log 10 x^{2} y^{3}$…

01:09

Determine $f^{\prime}(x)$.$$f(x)=\ln \left(4+3 x^{2}\right)$$

01:16

Determine where the function is concave upward and downward, and list all in…

02:02

Use the first and second derivatives to sketch the graph of the given equati…

01:40

Solve for $x.$$$10^{\log (3 x+4)}=1$$

02:00

The rate of change at any time $t,$ (in hours) of the number of bacteria in …

01:19

Use your calculator to compute the expression given.$$9^{-2.56}$$