SOLUTION: if 9^x = 3^(x-1) / 2^(x+1), find x.

Algebra.Com
Question 1134207: if 9^x = 3^(x-1) / 2^(x+1), find x.
Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.
if  9^x = 3^(x-1) / 2^(x+1),    then


 = ,   or, equivalently,


 = ,        or, equivalently


. = 1,         or, equivalently


 = 1,


which implies   


x + 1 = 0,    or  x= -1.      ANSWER.



RELATED QUESTIONS

How do you find x^2 if x satisfies... (answered by Edwin McCravy)
suppose: 3^X+2 = (1/9)^X-4 find... (answered by ewatrrr)
If 9^(2x+1)=81^(x-2)/3^x find... (answered by MathLover1)
If 1/9^(1/x) + 1/3^(1/x) = 30, find... (answered by CPhill,ikleyn,mccravyedwin)
if 2(x/3-1) = 9, then x= 33/2 (answered by solver91311)
if 2(x/3-1) = 9, then x= 33/2 (answered by solver91311)
If f(1) = -3 and f(x+2) = 3*f(x) - 3, find f(9). (answered by jim_thompson5910)
3^(x+2)=1/9 (answered by Apathious)
-2(x+1)-3=-9 (answered by jorel1380)