Jika [tex]9^{m+1} = 82 - 9^{m-1} , nilai , dari 5^{m+1}[/tex] adalah ....................... (Pake rumus yang mudah pahami ya )

9^(m + 1) = 82 - 9^(m - 1)
9^(m + 1) + 9^(m - 1) = 82
(1/9)(81 . 9^m + 9^m) = 82
(1/9)(82 . 9^m) = 82
(1/9)(9^m) = 1
9^m = 9
m = 1

5^(m + 1) = 5^2 = 25

Persamaaan eksponen

[tex]9^{m+1}\ = \ 82\ - \ 9^{m-1} \\ \\ 9^{m+1}\ + \ 9^{m-1} \ = \ 82 \\ \\ 9^{m} \ (9 + \frac{1}9 ) \ = 82 \\ \\ 9^{m} = 82 / (9 + \frac{1}{9})\ = 9 \\ \\ m = 1 \\ \\ 5^{m+1} \ = \ 5^{2} \ = 25[/tex]