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

#rigid non rigid transformations, #can u tell me some things on rigid and n...

#can u tell me some things on rigid and non rigid transformations

Draw the graph parabolas, Sketch the graph parabolas. g ( x ) = 3x 2 - ...

Sketch the graph parabolas. g ( x ) = 3x 2 - 6 x + 5 Solution For this parabola we've obtain a = 3 , b = -6 and c = 5 .  Ensure that you're cautious with signs while id

., The number of calories needed on a daily basis for a moderately active m...

The number of calories needed on a daily basis for a moderately active male is found to be k(calories)= 1108 + ( w + h - a ) where w is his weight in pounds, h is his height in inc

Algebra 2 with trig, I am supposed to put y= -2x-16x-32 in vertex form and ...

I am supposed to put y= -2x-16x-32 in vertex form and identify the vertex , axis of symmetry, and direction of opening.

Determine the matrix of the transformation, Consider the linear transformat...

Consider the linear transformation     (a)  Find the image of (3 , -2 , 3) under T. (b)  Does the vector (5, 3) belong to the range of T? (c)  Determine the matrix of the trans

Word problems, A board 13 3/5 feet long is cut into 4 equal pieces to make ...

A board 13 3/5 feet long is cut into 4 equal pieces to make a book shelf. What is the length of each shelf?

Set, {a|a=9 ,a=N,a

{a|a=9 ,a=N,a

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