Solve example using logarithms, Algebra

Assignment Help:

Example Simplify following logarithms.

log4( x3 y5 )

Solution

Here the instructions may be a little misleading.  While we say simplify we actually mean to say that we desire to use as many of the logarithm properties as we can.

Note that we can't utilize Property 7 to bring the 3 & the 5 down into the front of the logarithm at this point. To use Property 7 the entire term in the logarithm required to be raised to the power.  In this case the two exponents are just on individual terms in the logarithm and thus Property 7 can't be used here.

However, we do have a product within the logarithm thus we can use Property 5 on this logarithm.

log4( x3 y5 )= log4  (x 3) + log4  (y5)

Now that we've done it we can utilizes Property 7 on each of these individual logarithms to obtain the final simplified answer.

                       log4( x3 y5 ) = 3 log4 x + 5 log4  y


Related Discussions:- Solve example using logarithms

Interval notation, Interval notation The next topic that we have to dis...

Interval notation The next topic that we have to discuss is the idea of interval notation.  Interval notation is some very pleasant shorthand for inequalities & will be utilize

Sequencing, What is the fourth term in t^n= -2(2)^n-1

What is the fourth term in t^n= -2(2)^n-1

Exponents, 10 to the 50th exponent

10 to the 50th exponent

Find out angle of a triangle, Let a = 2 cm, b = 6 cm, and angle A = 6...

Let a = 2 cm, b = 6 cm, and angle A = 60°.  How many solutions are there for angle B   We must calculate b sin A .  If it is less than a , there will be

Linear equations , solve the system of equations by graphically and compare...

solve the system of equations by graphically and compare the solution with that obtained by matrix approach 3x+2y=8 y=x-1

Develop the decision tree and probabilities , "I wish these guys would stop...

"I wish these guys would stop fighting and be a little more accommodating of each other's point of view," thought TomHoffmeyer, Vice President of Marketing at the General Mills Com

Sherry, How do I work this algebra problem step by step (- 1/5) 3 power?

How do I work this algebra problem step by step (- 1/5) 3 power?

Partial fractions, This section doesn't actually have many to do with the r...

This section doesn't actually have many to do with the rest of this chapter, but since the subject required to be covered and it was a fairly short chapter it appeared like as good

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