$3^{x-1}$ `+` $3^{x-2}$ `+` $3^{x-3}$ `=` `1053` Tim x 25/10/2021 Bởi Sadie $3^{x-1}$ `+` $3^{x-2}$ `+` $3^{x-3}$ `=` `1053` Tim x
Đáp án: Giải thích các bước giải: $3^{x – 1} + 3^{x – 2} + 3^{x – 3} = 1053 $ $3^{x}(3^{-1} + 3^{-2} + 3^{-3}) = 1053$ $3^{x}(\frac{1}{3} + \frac{1}{9} + \frac{1}{27} = 1053$ $3^x.\frac{13}{27} = 1053$ $3^x = 1053 : \frac{13}{27} $ $3^x = 2187$ $3^x = 3^7$ Suy ra x = 7 Bình luận
$3^{x-1}$ `+` $3^{x-2}$ `+` $3^{x-3}$ `=` `1053` $3^{x}$ `÷` `3/1` `+` $3^{x}$ `÷` `3²/1` `+` $3^{x}$ `÷` `3³/1` `=` `1053` $3^{x}$ `×` `1/3` `+` $3^{x}$ `×` `1/3²` `+` $3^{x}$ `×` `1/3³` `=` `1053` $3^{x}$ `×` `(“3/1` `+` `{3²}/{1}` `+` `{3³}/1“)` `=` `1053` $3^{x}$ `×` `13/27` `=` `1053` $3^{x}$ `=` `1053` `÷` `13/27` $3^{x}$ `=` `2187` $3^{x}$ `=` `3^7` ⇒ `x` `=` `7` Bình luận
Đáp án:
Giải thích các bước giải:
$3^{x – 1} + 3^{x – 2} + 3^{x – 3} = 1053 $
$3^{x}(3^{-1} + 3^{-2} + 3^{-3}) = 1053$
$3^{x}(\frac{1}{3} + \frac{1}{9} + \frac{1}{27} = 1053$
$3^x.\frac{13}{27} = 1053$
$3^x = 1053 : \frac{13}{27} $
$3^x = 2187$
$3^x = 3^7$
Suy ra x = 7
$3^{x-1}$ `+` $3^{x-2}$ `+` $3^{x-3}$ `=` `1053`
$3^{x}$ `÷` `3/1` `+` $3^{x}$ `÷` `3²/1` `+` $3^{x}$ `÷` `3³/1` `=` `1053`
$3^{x}$ `×` `1/3` `+` $3^{x}$ `×` `1/3²` `+` $3^{x}$ `×` `1/3³` `=` `1053`
$3^{x}$ `×` `(“3/1` `+` `{3²}/{1}` `+` `{3³}/1“)` `=` `1053`
$3^{x}$ `×` `13/27` `=` `1053`
$3^{x}$ `=` `1053` `÷` `13/27`
$3^{x}$ `=` `2187`
$3^{x}$ `=` `3^7`
⇒ `x` `=` `7`