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

Quadratic Equations, I am finishing a quadratic equation problem and I am ...

I am finishing a quadratic equation problem and I am left with 3 plus or minus the square root of 361 all over 2. what next?

Find out the domain of function, Find out the domain of each of the followi...

Find out the domain of each of the following functions. g( x ) = x+3 /x 2 + 3x -10 Solution The domain for this function is all of the values of x for which we don't hav

Example of equations with more than one variable, y = 4 - 3x /1 + 8x for x....

y = 4 - 3x /1 + 8x for x. Solution This one is very alike to the previous instance.  Here is the work for this problem. y + 8xy = 4 - 3x 8xy + 3x = 4 - y X(8 y +3)

Introduction to Algebra, I need help with my Discussion 1 for week 5 please...

I need help with my Discussion 1 for week 5 please. w^2 + 30w + 81 and ac + xc + aw^2 + xw^2 and last one is x^4 - x^3

Word problem, larry has a propane tank in the shape of a cylinder with a he...

larry has a propane tank in the shape of a cylinder with a hemisphere on each end, the total length of the tank is 16 feet. the width of the tank is 6 feet. he intends to paint the

Pre-algebra, Having trouble with algebra, very confusing

Having trouble with algebra, very confusing

Deacay, Ask quesThe above model describes the exponential decay of chemical...

Ask quesThe above model describes the exponential decay of chemical element. t is the time in years, Q(0) is the initial amount of the chemical element, Q(t) is the amount of chemi

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