3 mũ x + 3 mũ x + 2 = 810

2 câu trả lời

`3^x + 3^(x + 2) = 810`

`=> 3^x . 1 + 3^x . 3^2 = 810`

`=> 3^x . ( 1 + 3^2 ) = 810`

`=> 3^x . ( 1 + 9) = 810`

`=> 3^x . 10 = 810`

`=> 3^x = 810 : 10`

`=> 3^x = 81`

`=> 3^x = 3^4`

`=> x = 4`

Vậy `x = 4`

`#dtkc`

 

$3$$^x$ + $3$$^x+2$ = $810$ ? 

Đáp án : $x$ = $4$

Giải thik các bước giải :

$3$$^x$ + $3$$^x+2$ = $810$ 

$\Longrightarrow$ $3$$^x$ + $3$$^x$ . $9$ = $810$ 

$\Longrightarrow$ $3$$^x$ . $1$ + $3$$^x$ . $9$ = $810$ 

$\Longrightarrow$ $3$$^x$ . ( $1$ + $9$ ) = $810$ 

$\Longrightarrow$ $3$$^x$ . $10$ = $810$ 

$\Longrightarrow$ $3$$^x$ = $810$  : $10$

$\Longrightarrow$ $3$$^x$ = #81# 

$\Longrightarrow$ $3$$^x$ = $3$$^4$

$\Longrightarrow$ $x$ = $4$

Vậy $x$ = $4$ 

$#IdolTikTok$

  

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