+0  
 
0
42
3
avatar+134 

Hi, simplify:

 

\(5*3^x-9*3^{x-2} \over 3^x-3^{x-1}\)

 

I really am stuck with this one...please help..

juriemagic  Nov 9, 2017
Sort: 

3+0 Answers

 #1
avatar+91053 
+2

hi Juriemagic  laugh

This is an unusual question :)

 

\(5*3^x-9*3^{x-2} \over 3^x-3^{x-1}\\ =(5*3^x-9*\frac{3^x}{9})\div(3^x-\frac{3^x}{3})\\ =(5*3^x-3^x)\div(\frac{3*3^x-3^x}{3})\\ =(4*3^x)\div(\frac{2*3^x}{3})\\ =(4*3^x)\times(\frac{3}{2*3^x})\\ =(4)\times(\frac{3}{2})\\ =6\)

Melody  Nov 9, 2017
edited by Melody  Nov 9, 2017
 #2
avatar+134 
+1

Hi Melody,

 

thanx for the reply...can you just explain how the "5" became a "4" please?

juriemagic  Nov 9, 2017
 #3
avatar+78762 
+1

Note, junemagic

 

5 * 3x  -  3x  = 

 

5 * 3x   -   1 * 3x

 

3x  ( 5 - 1) =

 

3x * 4  =

 

4 * 3x

 

 

cool cool cool

CPhill  Nov 9, 2017

7 Online Users

avatar
We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details