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

Solve for $x.$$$\log _{2}(2 x+1)-\log _{2}(3 x-1)=1$$

$$3 / 4$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 6

Properties of Logarithmic Functions

Missouri State University

Campbell University

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

02:24

Solve exactly.$$1-…

01:22

Solve.$$\log (3 x+1)-\…

01:15

02:29

Solve for $x$ algebraicall…

01:17

$$\text { Solve: } \log _{…

02:16

Solve exactly.$$\l…

01:04

Solve exactly.$$\log (…

01:46

Solve the logarithmic equa…

01:44

07:08

Solve each equation.$\…

02:12

s. This problem involves using the law of logs to combine them as a single log, a rhythm, and then the math just kind of is pretty easy from there. Okay, Log base two of three X minus one. Yeah, is equal to months. So the first thing you need to do is combine the logs together as a single log rhythm and because it's a minus sign here, you combine them using division two X plus 1/3 X minus one still equal to one. Well, now you can use Ah, um change this toe exponential form because you could take two to each side to the toe. Undo the logs. S o you're left with two X plus One is equal to over three XMs. One is equal to to to the first power, which is to sometimes I like to write to over one to help students see the cross multiplication. So as I cross multiply two x plus one times one is two x plus one and two times this quantity As I cross multiply be six X minus two. So what I would do? This is just a me thing I would add to to the left side to give me three and subtract two x to the right side to give me four X on your last step is to divide by four. Because that's your multiplication problem. To get X equals three, force your correct answer, okay?

View More Answers From This Book

Find Another Textbook

02:28

Determine the area of the region between the given curves.$$f(x)=x^{2}-4…

03:41

The population of Lubbock, TX was 149,000 in 1970 and 174,000 in 1980 .(…

01:12

Evaluate the given definite integral.$\int_{1}^{3} 5 d x$

01:37

Sketch the graph of the function defined by the given equation.$$y=f(x)=…

01:23

Solve for $x$ in.$$16^{3 x+1}=64^{2-5 x}$$

05:51

Find the elasticity of demand for each of the following demand equations.

01:31

Will a one-to-one function always be a decreasing or increasing function?

03:05

If $f(x)=\frac{2 x-3}{3 x+4},$ find (a) $f^{-1}(-3),$ (b) $f^{-1}(3)$

01:43

Repeat the previous exercise for the data set:(2,-0.91),(3,-1.52),(4,-2.…

Write the given expression as a sum of logarithms.$$\ln \sqrt{x} y^{2}$$…