Toán 3^-1 . 3^n + 5.3^n-1 =162 help me, please!!!!!!!! :))) 10/09/2021 By Madeline 3^-1 . 3^n + 5.3^n-1 =162 help me, please!!!!!!!! :)))
Đáp án: \(n=4\) Giải thích các bước giải: \(\begin{array}{l} {3^{ – 1}}{.3^n} + {5.3^{n – 1}} = 162\\ {3^{n – 1}} + {5.3^{n – 1}} = 162\\ {3^{n – 1}}\left( {1 + 5} \right)\,\,\,\,\, = 162\\ {3^{n – 1}}.6\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 162\\ {3^{n – 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 162:6\\ {3^{n – 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 27\\ {3^{n – 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {3^3}\\ n – 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 3\\ n\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 3 + 1\\ n\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 4 \end{array}\) Trả lời
Đáp án: Giải thích các bước giải: <=>3^n-1+5.3^n-1=162 <=>3^n-1(1+5)=162 <=>3^n-1.6=162 <=>3^n-1=3^3 <=>n-1=3 <=>n=4 Trả lời
Đáp án:
\(n=4\)
Giải thích các bước giải:
\(\begin{array}{l}
{3^{ – 1}}{.3^n} + {5.3^{n – 1}} = 162\\
{3^{n – 1}} + {5.3^{n – 1}} = 162\\
{3^{n – 1}}\left( {1 + 5} \right)\,\,\,\,\, = 162\\
{3^{n – 1}}.6\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 162\\
{3^{n – 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 162:6\\
{3^{n – 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 27\\
{3^{n – 1}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {3^3}\\
n – 1\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 3\\
n\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 3 + 1\\
n\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 4
\end{array}\)
Đáp án:
Giải thích các bước giải:
<=>3^n-1+5.3^n-1=162
<=>3^n-1(1+5)=162
<=>3^n-1.6=162
<=>3^n-1=3^3
<=>n-1=3
<=>n=4