SOLUTION: 27^(x^2+1) = 243

Algebra.Com
Question 184436: 27^(x^2+1) = 243
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
27^(x^2+1) = 243
-----------------
(3^3)^(x^2+1) = 3^5
3^(3x^2+3) = 3^5
3x^2+3 = 5
3x^2 = 2
x^2 = 2/3
x = +/-(1/3)sqrt(6)
=========================
Cheers,
Stan H.

RELATED QUESTIONS

27^x-1 =... (answered by Awesom3guy)
27^x-1=... (answered by Alan3354)
solve... (answered by lwsshak3)
Write (81^(x+1)(1/9^(4-x) / 27(243^(x-2) as a single... (answered by stanbon)
9^X =... (answered by nerdybill)
X^5/2=243 (answered by Fombitz)
Find the value of x in the following equation (1/9)^m x (27)^-1=243 (answered by Alan3354,josgarithmetic)
3^x*3^x+1*3^x-2=243 (answered by jim_thompson5910)
3^(x^2+1)=243 solve for x. please... (answered by edjones)