Diket. : [tex] 9^{m+1} + 2. 9^{m} = 14 [/tex]. Maka, [tex] 27^{m} = ... [/tex]

9.9^m + 2.9^m = 14
11.9^m = 14
9^m = 14/11
m = ^9log(14/11)
27^m = 27^(^9log(14/11))
= 3^(3.^3²log(14/11))
= 3^((3/2).³log(14/11)
= 3^(³log√(14/11)³)
= (14/11)√(14/11)
= (14/11)(1/11)√154
= (14/121)√154