02-06-2015
Mathematics

contestada

solve for x: log6(x+29) - log6(x-6) = 2

Respuesta :

darth666 darth666

02-06-2015

[tex]log_6(x+29)-log_6(x-6)=2[/tex]
[tex]log_6{6^2}=2[/tex]
[tex]log_6(x+29)-log_6(x-6)=log_6{6^2}=log_6{36}[/tex]
[tex]log_6(x+29)-log_6(x-6)=\frac{log_6(x+29)}{log_6(x-6)}=log_6{36}[/tex]
[tex]\frac{x+29}{x-6}=36[/tex]
[tex]x+29=36(x-6)[/tex]
[tex]x+29=36x-216[/tex]
[tex]35x=245[/tex]
[tex]x=\frac{245}{35}=7[/tex]
[tex]log_6{36}-log_6{1}=2[/tex]

Answer Link

Otras preguntas

why is it important in the medical field to have a well written payment/collection policy?

What are all of the the types of weather fronts

two line segments ab and cd, have end points at A ( -5,11) , B( 3,5) , C (9,3) and D (2,10) which of the two lines segments is longer ?

What detail is left unresolved at the end of the selection? the porter?

Is gas exchange directly proportional to the partial pressure gradient across the respiratory membrane?

Part of preforming routine computer maintenance includes

True or false mutations normally produce a beneficial change in an organism after many generations

how do you solve and graph this inequality

Good words that describe a person that start with e in spanish

After a juvenile has been taken into custody, which of these is the next step in the judicial process that must be taken? Question 11 options: adjudicatory hea