SOLUTION: 9^X = 1/243

Algebra.Com
Question 187155: 9^X = 1/243
Answer by nerdybill(7384)   (Show Source): You can put this solution on YOUR website!
9^X = 1/243
Take log9 (log base 9) of both sides:
X = log9(1/243)
X = log9(1) - log9(243)
X = log(1)/log(9) - log(243)/log(9)
X = 0/log(9) - log(243)/log(9)
X = -log(243)/log(9)
X = -2.5

RELATED QUESTIONS

27^x-1 =... (answered by Awesom3guy)
27^x-1=... (answered by Alan3354)
solve the equation.... (answered by edjones)
27^(x^2+1) =... (answered by stanbon)
(x-1)^5/3=243 (answered by lwsshak3)
Write (81^(x+1)(1/9^(4-x) / 27(243^(x-2) as a single... (answered by stanbon)
Find the value of x in the following equation (1/9)^m x (27)^-1=243 (answered by Alan3354,josgarithmetic)
Solve x in the following exponential notation... (answered by Earlsdon,MathLover1,DrBeeee)
1/243 (answered by Alan3354)