Solve the given log function, Algebra

Assignment Help:

Example: Solve following equations.

2 log9 (√x) - log9 (6x -1) = 0

Solution

 Along with this equation there are two logarithms only in the equation thus it's easy to get on one either side of the equal sign.  We will also have to deal with the coefficient in front of the first term.

log9 (√x)2    =      log9 (6x -1)

log9 x = log9 (6x -1)

Now that we've got two logarithms along with the similar base & coefficients of 1 on either side of the equal sign we can drop the logs & solve.

x = 6 x -1

1 = 5x          ⇒            x = 1/5

Now, we do have to worry if this solution will generate any negative numbers or zeroes in the logarithms hence the next step is to plug this into the original equation & see if it does.

2 log9 (√(1/5) - log9( 6 ( 1 /5) -1) = 2 log9  (√1/5 ) - log9 ( √(1 /5)) = 0

Note that we don't have to go all the way out with the check here.  We just have to ensure that once we plug in the x we don't contain any negative numbers or zeroes in the logarithms.  Since we don't in this case we have the solution, it is x=(1/5)


Related Discussions:- Solve the given log function

Eguations, I dont really understand it can you help me

I dont really understand it can you help me

Expressions, what is the expression. Of 1=1/2n(3n-1)

what is the expression. Of 1=1/2n(3n-1)

Negative exponents, what is the proper way to state a negative exponent whe...

what is the proper way to state a negative exponent when dividing example 27exponent -2/3 divided by 27 exponent -1/3

Graph of polynomials, Let's begin with the graph of couple of polynomials. ...

Let's begin with the graph of couple of polynomials. Do not worry regarding the equations for these polynomials.  We are giving these just so we can utilize them to show so

Non-linear systems, In this section we will discussed about non-linear syst...

In this section we will discussed about non-linear systems of equations.  A non-linear system of equations is a system wherein at least one of the variables contains an exponent ot

Centeal Theme, #question. What is central theme in algebra?

#question. What is central theme in algebra?

Coordinates for the point - graphing, Coordinates for the point  The li...

Coordinates for the point  The listed first number is the x-coordinate of the point and the second number listed is the y-coordinate of the point. The ordered pair for any spec

Radical Expressions, what is the answer to the square root of 125?

what is the answer to the square root of 125?

Word problems, Five star coffee charges a 40 dollar start up fee and then 8...

Five star coffee charges a 40 dollar start up fee and then 8 dollars per month. Custom coffee company charges a 25 dollar start up fee and 12.50 dollars per month. In which time fr

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd