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

Using linear algebra calculate the equilibrium , using linear algebra calcu...

using linear algebra calculate the equilibrium P 1 ,P 2 ,P 3 for the following three good market model. (1) Qs1=-7+P1 (2) Qd1=15-P1+2P2+P3 (3) Qs1=Qd1 (4) Qs2=-4+4P2

College algebra, $2.350 is invested in account paying 9% compound semiannua...

$2.350 is invested in account paying 9% compound semiannually. how much will the account be worth after 8yrs

Scale factor 1.5, According to the given scale value of ? will be : 1.5 3 ...

According to the given scale value of ? will be : 1.5 3 4

Prime factorization tree method, I am trying to figure out how the tree met...

I am trying to figure out how the tree method works for number 47

Equation, If ( x+1/x)2=3 then find the value of (x72+x66+x54+x36+x24+x6+1)

If ( x+1/x)2=3 then find the value of (x72+x66+x54+x36+x24+x6+1)

Literal equations and formulas, how do u solve the problem 2m=-6n-5 because...

how do u solve the problem 2m=-6n-5 because i tried everything and i cant get the answer?...

Substitution method, how do you change this (x+2y=10) equation into "y" for...

how do you change this (x+2y=10) equation into "y" form ?

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