\(7^x+7^{x+2}+7^{x+3}=2751\)
<=> \(7^x+7^x.7^2+7^x.7^3=2751\)
<=> \(7^x.\left(1+7^2+7^3\right)=2751\)
<=> \(7^x.393=2751\)
<=> \(\)\(7^x=2751:393\)
<=> \(7^x=7=>x=1\)
`7^x + 7^(x+2) + 7^(x+3) = 2751`
`=> 7^x + 7^x . 49 + 7^x . 343 = 2751`
`=> 7^x . (1 + 49 + 343) = 2751`
`=> 7^x . 393 = 2751`
`=> 7^x = 7`
`=> x = 1`.
7x+7x+2+7x+3=27517x+7x+2+7x+3=2751
⇒7x+7x.49+7x.343=2751⇒7x+7x.49+7x.343=2751
⇒7x.(1+49+343)=2751⇒7x.(1+49+343)=2751
⇒7x.393=2751⇒7x.393=2751
⇒7x=7⇒7x=7
⇒x=1
Chúc bạn hok tốt