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

Alligation Method, You need to prepare a 30 mL solution of a 1:6 syrup solu...

You need to prepare a 30 mL solution of a 1:6 syrup solution. You have on hand a 50% syrup solution and a 1:200 soda solution. How many mL of each solution will you need?

Exponents with variables and numbers, I need examples for a tutorial I have...

I need examples for a tutorial I have do in my AVID class.

Uniform motion, How do you do uniform motion? i am stuck on some problems

How do you do uniform motion? i am stuck on some problems

Writing Equivalent Ratios, John can drive his car 15 miles on 2 gallons. Ho...

John can drive his car 15 miles on 2 gallons. How many gallons of gas will john need to drive 195 miles?

I need help, A toy manufacturer determines that the daily cost,C, for produ...

A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must

Use the quadratic formula to solve the equation, Example :   Use the quadra...

Example :   Use the quadratic formula to solve following equation.                            x 2 + 2x = 7 Solution Here the important part is to ensure that before we b

Add, add - 3a + b - 10 -6c, c -d- a + 9 and - 4c +2a - 3b - 7

add - 3a + b - 10 -6c, c -d- a + 9 and - 4c +2a - 3b - 7

#title.algebra help., use substitution method to solve this equation x+y=2...

use substitution method to solve this equation x+y=20 y= -5x

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