Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

For the following exercises, expand each logarithm as much as possible. Rewrite each expression as a sum, difference, or product of logs.$$\log _{b}\left(\frac{13}{17}\right)$$

$o g_{b}(13)-\log _{b}(17)$

Algebra

Chapter 6

Exponential and Logarithmic Functions

Section 5

Logarithmic Properties

Functions

Missouri State University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

00:37

For the following exercise…

04:09

02:04

01:12

00:27

01:00

01:33

01:36

00:10

Rewrite each expression as…

Hello. Welcome to the video and today we're to be taking a look at logger rhythms. This problem were given log base B. Which beacon really equal anything in this situation? It doesn't really matter of 13 over 70. The problem tells us to rewrite this Now How exactly we do this, we need to know our log properties. There are quite a few long properties that we know of, but essentially what they do is that they allow us to take logs and rewrite them into different looking logs. But they both equal the same thing. Then they're all really important. This we have to use in this problem is tthe equ ocean where if we have a long face B off any value a over any value, See, we can rewrite this into law Base B. It's important that we keep the same face value, whatever's on top, minus the long face, be of whatever's on bottom and these are interchangeable. We can change a log that looks like this into this, and vice versa. And that's what we need to do with this problem. So going back to what we're given, log base B 13 over 17 could be transformed into our answer right here. Log base B 13 minus log base be 70

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

For the following exercises, expand each logarithm as much as possible. Rewr…

For the following exercises, use the properties of logarithms to expand each…

For the following exercises, expand each logarititim as much as possible. Re…

For the following exercise, use the properties of logarithms to expand each …

Rewrite each expression as a sum or difference of logarithms.$$\log \lef…

02:26

For the following exercises, solve for the desired quantity.A guitar fac…

01:07

For the following exercises, use a graphing calculator to find the equation …

01:44

For the following exercises, condense to a single logarithm if possible.…

00:54

For the following exercises, condense each expression to a single logarithm …

00:36

What type(s) of translation(s), if any, affect the domain of a logarithmic f…

02:10

For the following exercises, use this scenario: The population $P$ of a koi …

01:52

For the following exercises, find the inverse of the function and graph both…

01:49

For the following exercises, evaluate the base $b$ logarithmic expression wi…

01:37

For the following exercises, refer to Table 9.$$\begin{array}{ccccccc}{x…

02:15

For the following exercises, use a system of linear equations with two varia…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.