3^-1 . 3^n + 5.3^n-1 =162 help me, please!!!!!!!! :)))

By Madeline

3^-1 . 3^n + 5.3^n-1 =162
help me, please!!!!!!!!
:)))

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  1. 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

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