Posted by Jeconiah on Tuesday, August 7, 2012 at 3:23am.
Solve for x: 9^x3^x8=0

Please help quick!! Mathematics A  Elena, Tuesday, August 7, 2012 at 5:26am
(3^2)^x3^x8=0,
(3^x)² 3^x 8 = 0,
3^x =y,
y² y  8=0,
y= (1±√33)/2.
Since 3^x>0, the negative root is nonsence,
=> y= (1+√33)/2 =3.37228,
3^x =3.37228,
x=log(3)3.37228= =ln3.37228/ln3≈1.21559/1.0986=1.1065
Test:
9^1.1065 – 3^1.1065 – 8 =
=11.372 – 3.372 – 8 = 0