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

Math, (-3) EVALUATE X3 -2X2 + 6X -64

(-3) EVALUATE X3 -2X2 + 6X -64

Exponential story problems., The cost of a can of Coca-Cola in 1960 was $0....

The cost of a can of Coca-Cola in 1960 was $0.10. The exponential function that models the cost of Coca-Cola by year is given below, where (t) is the number of years since 1960. C

Quadratic equations, In the earlier section we looked at using factoring & ...

In the earlier section we looked at using factoring & the square root property to solve out quadratic equations. The problem is that both of these methods will not always work. Not

Algebraic vocab, the words and definitions to study please :)

the words and definitions to study please :)

Absolute value, We've dealt along with this function many times already. No...

We've dealt along with this function many times already. Now it's time to graph it. First, let's remember ourselves of the definition of the absolute value function. It is a pie

Approximate.., (^5square root of 38)^3 Round your answer to 2 decimal place...

(^5square root of 38)^3 Round your answer to 2 decimal places A.8.9 B.8.86 C.8.87 D.429.51

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