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200*2^(x/9)-1600*2^(x/18)=0

 Nov 16, 2016
 #1
avatar+26399 
+5

200*2^(x/9)-1600*2^(x/18)=0

 

2002x916002x18=0|:(200)2x9+82x18=0|+2x982x18=2x9|19x89x2x189x=2x99x89x212=21|:21289x=2121289x=211289x=212|8=23239x=212227x=21227x=12x=227x=54

 

laugh

 Nov 16, 2016
 #2
avatar+33660 
0

First divide through by 200:

 

2^(x/9) - 8*2^(x/18) = 0

 

Divide through by 2^(x/18)

 

2^(x/18) - 8 = 0

 

Rewrite this as

 

2^(x/18) = 2^3

 

So we must have 

 

x/18 = 3

 

Multiply through by 18

 

x = 54

.

 Nov 16, 2016

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