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

Linear inequalities, To this instance in this chapter we've concentrated on...

To this instance in this chapter we've concentrated on solving out equations.  Now it is time to switch gears a little & begin thinking regarding solving inequalities.  Before we g

Permutations, Subject identification numbers in a certain scientific resear...

Subject identification numbers in a certain scientific research project consist of three digits followed by three letters and then three more digits. Assume repetitions are not all

Word problems, I have such a hard time understanding them

I have such a hard time understanding them

Statistics, what is a residual and how do you solve for it

what is a residual and how do you solve for it

Modeling Data, The number in millions of people in the U.S. living below po...

The number in millions of people in the U.S. living below poverty level is shown for selected years. Find a degree 3 polynomial model for the data, where x is the number of years p

Determing slopes, Give the slope of each line and determine whether the 2 l...

Give the slope of each line and determine whether the 2 lines are parallel, perpendicular or neither: 4x+3y=9 and -9x+12y=0

Equations and inequalities problem solving, 1.Ms. Nioka and seven of her fr...

1.Ms. Nioka and seven of her friends went out to eat. They decided to split the bill evenly. each person paid $8.73. What was the total bill.

Solve each variable, solve each equation for given variable 3ab-2bc=12;

solve each equation for given variable 3ab-2bc=12;

Tle.., If a graph shows all of the possibilities for the no. of refrigerato...

If a graph shows all of the possibilities for the no. of refrigerators and the no. of TVs that will fit into an 18 wheeler, will the truck hold 71 refrigerators and 118 Tvs?

Quadratic functions, would a slope of a quadratic function get narrower or ...

would a slope of a quadratic function get narrower or wider if the slope is changed from 3 to 2.5?

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