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

Mixing problems, It is the final type of problems which we'll be looking at...

It is the final type of problems which we'll be looking at in this section.  We are going to be looking at mixing solutions of distinct percentages to obtain a new percentage. The

Graphing, I do not understand graphing at all.

I do not understand graphing at all.

Kenneth, brody rode his bike 70 miles in 4 hours. he rode at an average spe...

brody rode his bike 70 miles in 4 hours. he rode at an average speed of 17 mph for t hours and at an average rate of speed of 22 mph for the rest of the time. how long did brody ri

Relationship between the graph of a function and its inverse, There is inte...

There is interesting relationship among the graph of function and its inverse. Here is the graph of the function & inverse from the first examples. We'll not deal along with the

Algebra 2, Find the zeros of the function by using the quadratic formula. ...

Find the zeros of the function by using the quadratic formula. Simplify your answer as much as possible. g(x)= 2x^2+4x-12

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