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

Pricing problems, Pricing Problems Below give problem deal with some ba...

Pricing Problems Below give problem deal with some basic principles of pricing. Example A particular calculator has been marked up as 15% & is being sold for $78.50. How m

Fractions, how do you subtract 6/9 and 1/12

how do you subtract 6/9 and 1/12

Quadratic, how to get the perfect square

how to get the perfect square

Vector algebra, #addition of vectors is associative

#addition of vectors is associative

Interpreting expressions, twice the number n plus the product of eight and ...

twice the number n plus the product of eight and z. I need to know the algebraic expression, term, factors, coefficient, and constants

Math 092, A student''s tuition was $3008. A loan was obtained for 7/4 of th...

A student''s tuition was $3008. A loan was obtained for 7/4 of the tuition. How much was the loan? The student''s loan was for?

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..

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