Diketahui:
$9^{m+1} = 82-9^{m-1}$. Nilai dari lisan $5^m+1$ = ....
A. 1/15
B. 1/5
C. 1
D. 5
E. 25
Pembahasan:
$\begin{align} 9^{m+1} &= 82-9^{m-1} \\ 9.9^m &= 82-\frac{9^m}{9} \\ 81.9^m &= 738-9^m \\ 81.9^m+9^m &= 738 \\ 82.9^m &= 738 \\ 9^m &= \frac{738}{82} \\ 9^m &= 9 \\ 9^m &= 9^1 \\ m &= 1 \end{align}$
maka;
$5^{m+1}=5^{1+1}=25$
Kunci: E. 25
Sumber http://www.catatanmatematika.com$9^{m+1} = 82-9^{m-1}$. Nilai dari lisan $5^m+1$ = ....
A. 1/15
B. 1/5
C. 1
D. 5
E. 25
Pembahasan:
$\begin{align} 9^{m+1} &= 82-9^{m-1} \\ 9.9^m &= 82-\frac{9^m}{9} \\ 81.9^m &= 738-9^m \\ 81.9^m+9^m &= 738 \\ 82.9^m &= 738 \\ 9^m &= \frac{738}{82} \\ 9^m &= 9 \\ 9^m &= 9^1 \\ m &= 1 \end{align}$
maka;
$5^{m+1}=5^{1+1}=25$
Kunci: E. 25