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

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

the words and definitions to study please :)

Steve, The following equalities can be used to make conversion factors. 2....

The following equalities can be used to make conversion factors. 2.54 cm = 1 inch 12 inches = 1 foot 1 mile = 5,280 feet 100 cm = 1 m 1000 m = 1 km 36 inches = 1 y

#title.Linear Sytems Summative Assessment, Use the infomation beow tassess ...

Use the infomation beow tassess how much money Dave and Jane will be able to give to charity. They plan toma them in two sizes, small and large. Dave will carve them from wood. Sma

Differences Between Tempatures, The record high temperature for Asheville, ...

The record high temperature for Asheville, North Carolina was 99 degree Fahrenheit. The low record was -17 degrees Fahrenheit. What is the difference between these two temperatures

Factor theorem, Factor Theorem For the polynomial P ( x ) , 1. If va...

Factor Theorem For the polynomial P ( x ) , 1. If value of r is a zero of P ( x ) then x - r will be a factor of P ( x ) . 2. If x - r is a factor of P ( x ) then r will

Uniform motion, How do you do uniform motion? i am stuck on some problems

How do you do uniform motion? i am stuck on some problems

Scale factor 1.5, According to the given scale value of ? will be : 1.5 3 ...

According to the given scale value of ? will be : 1.5 3 4

Factoring, How can x raised to the second power mines x mines 2 . can be fa...

How can x raised to the second power mines x mines 2 . can be factored as (x+1)(x-2)

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