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

Alg 2.., Cassie has six bracelets. In how many different ways can she wear ...

Cassie has six bracelets. In how many different ways can she wear three bracelets at the same time..

Bear population a word problem, To estimate the size of the bear population...

To estimate the size of the bear population in Keweenaw Pennisula, conservationists captured, tagged and released 50 bears. One year later, a random sample of 100 bears included on

Partial fractions and partial fraction decomposition, What we desire to do ...

What we desire to do in this section is to begin with rational expressions & ask what simpler rational expressions did we add and/or subtract to obtain the original expression. The

Compound and simple interests, Scenario: A client comes to you for investme...

Scenario: A client comes to you for investment advice on his $500,000 winnings from the lottery. He has been offered the following options by three different financial institutions

Exponential function, Exponential function As a last topic in this sect...

Exponential function As a last topic in this section we have to discuss a special exponential function.  Actually this is so special that for several people it is THE exponenti

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

Simplify, -4(2y+x)-5(x-5y) simplify

-4(2y+x)-5(x-5y) simplify

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