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

Math, i am in 6th grade..... and just test prep

i am in 6th grade..... and just test prep

Sketch the graph on the similar axis system, Sketch the graph of f( x ) = 2...

Sketch the graph of f( x ) = 2 x   and g( x ) = ( 1 /2) x on the similar axis system. Solution Okay, as we don't have any ideas on what these graphs appear like we're goin

Exponential and logarithm functions, In this section we will look at expone...

In this section we will look at exponential & logarithm functions.  Both of these functions are extremely important and have to be understood through anyone who is going on to late

Stutdent, #question.3000 board feet of maple lumber for making their classi...

#question.3000 board feet of maple lumber for making their classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern maple rocke

Example of method of elimination, Example    Solve each of the following sy...

Example    Solve each of the following systems of equations.              5x + 4 y = 1              3x - 6 y = 2 Solution It is the system in the previous examples wh

Find out the symmetry of equations, Find out the symmetry of equations. ...

Find out the symmetry of equations.                                                  y = x 2 - 6x 4 + 2 Solution First we'll check for symmetry around the x-axis. It

Algebra 1, how do i find the slope of a parallel line on a graph?

how do i find the slope of a parallel line on a graph?

Distance, If a jet can travel 600 mph, how long in second will it take the ...

If a jet can travel 600 mph, how long in second will it take the jet to travel 5 miles?

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