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

Polygon, suppose you copy a drawing of a polygon with the given size factor...

suppose you copy a drawing of a polygon with the given size factor. How will the side lengths, angle measures, and perimeter of the image compare to those of the original

Financial project, Five (5) years ago, you bought a house for $171,000, wit...

Five (5) years ago, you bought a house for $171,000, with a down payment of $30,000, which meant you took out a loan for $141,000. Your interest rate was 5.75% fixed. You would li

Prisms, how do i find the are of a triangular prism if the number that i mu...

how do i find the are of a triangular prism if the number that i multiply is an odd number and i have to divide by 2

Quadratic equation, solve 4x2+12x =0by using quadratic formula

solve 4x2+12x =0by using quadratic formula

Find the equilibrium price, Suppose an economy has four sectors, Agricultur...

Suppose an economy has four sectors, Agriculture (A), Energy (E), Manufacturing (M), and Transportation (T). Sector A sells 10% of its output to E and 25% to M and retains the rest

Inequalities word problem, Activity 1: Graphing To fill an order for Sizzli...

Activity 1: Graphing To fill an order for Sizzlin'' Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers. • Write and graph a system of inequalities to represent

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