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

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

Inequality, turn into an inequality expression, y= (0,330) x= (110,0)

turn into an inequality expression, y= (0,330) x= (110,0)

Use synthetic division to divide equation, Use synthetic division to divide...

Use synthetic division to divide 5x 3 - x 2 + 6 by x - 4 . Solution Okay along with synthetic division we pretty much avoid all the x's and just work with the numbers in

Example of equations with radicals, Solve x =√(x+ 6) . Solution In ...

Solve x =√(x+ 6) . Solution In this equation the fundamental problem is the square root.  If it weren't there we could do the problem.  The whole procedure that we're going

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

cramer''s rule, Solve the following simultaneous equations by using Cramer...

Solve the following simultaneous equations by using Cramer's rule                      3x+2y=13                      2x-y=4

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