+0  
 
0
76
4
avatar

27x=9x+1

 Dec 12, 2020
 #1
avatar+10814 
+1

27x=9x+1

 

Hello Guest!

 

\(27x=9x+1 \)        |\(-9x\)

\(27x-9x=1 \)       

\(18x=1\)                 |  /18 

\(x=\frac{1}{18}\)

 

proof

\(27\cdot \frac{1}{18}=9\cdot \frac{1}{18}+1\\ \frac{27}{18}=\frac{9}{18}+\frac{18}{18}\\ \frac{27}{18}=\frac{27}{18}\)

laugh  !

 Dec 12, 2020
 #2
avatar
+1

27x=9x+1

(33x) = 32(x+1)    equate the exponents

3x = 2x+2

x = 2

 Dec 12, 2020
 #3
avatar
0

Firt line SHOULD read

27= 9x+1

Guest Dec 12, 2020
 #4
avatar+10814 
+1

\(27^x=9^{x+1}\)

 

Hello Guest!

 

\((3^3)^x=(3^2)^{x+1}\\ 3^{3x}=3^{2(x+1)}\\ 3x=2x+2\\ \color{blue}x=2\)

laugh  !

 Dec 12, 2020

25 Online Users