\(7^{2x}+7^{2x+2}=2450\)
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(7^{2x}+7^{2x+2}=2450\)
\(\Rightarrow7^{2x}\left(1+7^2\right)=2450\)
\(\Rightarrow7^{2x}\cdot50=2450\)
\(\Rightarrow7^{2x}=49=7^2\)
\(\Rightarrow2x=2\Rightarrow x=1\)
72x(1+72)=2450
72x.50=2450
72x=2450 : 50 = 49 = 72
=> 2x=2 => x=1
Vậy x=1
\(7^{2x}+7^{2x+2}=2450\)
\(7^{2x}+7^{2x}\times7^2=2450\)
\(7^{2x}\left(1+49\right)=2450\)
\(7^{2x}=2450\div50\)
\(7^{2x}=49\)
\(7^{2x}=7^2\)
\(\Rightarrow2x=2\Leftrightarrow x=1\)
\(7^{2x}+7^{2x+2}=2450\)
\(\Rightarrow7^{2x}+7^{2x}\cdot7^2=2450\)
\(\Rightarrow7^{2x}\cdot\left(1+49\right)=2450\)
\(\Rightarrow7^{2x}=2450:50=49\)
\(\Rightarrow7^{2x}=7^2\)
\(\Rightarrow2x=2\)
\(\Rightarrow x=1\)
72x+72x+2=2450
=>72x(1+72)=2450
=>72x.50=2450
=>72x=2450/50
=>72x =49=72
=>2x=2
=>x=1
Vậy x=1
\(7^{2x}+7^{2x+2}=2450\)
\(\Rightarrow7^{2x}+7^{2x}\times7^2=2450\)
\(\Rightarrow7^{2x}\times\left(1+7^2\right)=2450\)
\(\Rightarrow7^{2x}\times50=2450\)
\(\Rightarrow7^{2x}=49\)
\(\Rightarrow7^{2x}=7^2\)
\(\Rightarrow2x=2\)
\(\Rightarrow x=2:2\)
\(\Rightarrow x=1\)
Vậy x = 1
_Chúc bạn học tốt_
\(7^{2x}+7^{2x+2}=2450\)
\(7^{2x}\left(1+7^2\right)=2450\)
\(7^{2x}=2450\div50\)
\(7^{2x}=49\)
\(\Rightarrow2x=2\)
\(\Leftrightarrow x=1\)
\(7^{2x}+7^{2x+2}=2450\)
\(\Leftrightarrow7^{2x}+7^{2x}.7^2=2450\)
\(\Leftrightarrow7^{2x}\left(1+7^2\right)=2450\)
\(\Leftrightarrow49^x\left(1+49\right)=2450\)
\(\Leftrightarrow49^x.50=2450\)
\(\Leftrightarrow49^x=2450:50\)
\(\Leftrightarrow49^x=49\)
\(\Rightarrow x=1\)
vậy x=1
72x + 72x+2 = 2450
1.72x + 72x.72 = 2450
72x.(1+72) = 2450
72x.(1+49) = 2450
72x.50 = 2450
72x = 2450 : 50
72x = 49
72x = 72
2x = 2
x = ... (Tự tính)
Vậy x = ...
\(7^{2x}+7^{2x+2}=2450\)
\(1\times7^{2x}+7^{2x}\times7^2=2450\)
\(7^{2x}\left(1+7^2\right)=2450\)
\(\frac{7^{2x}\left(1+7^2\right)}{1+7^2}=\frac{2450}{1+7^2}\)
\(7^{2x}=\frac{2450}{1+49}\)
\(7^{2x}=\frac{2450}{50}\)
\(7^{2x}=49\)
\(7^{2x}=7^2\)
\(2x=2\)
\(x=2\div2\)
\(x=1\)
Học tốt nha.
72x+72x+2=2450
72x+72x.72=2450
72x.(1+72)=2450
72x.50=2450
72x =2450:50
72x =49
72x =72.1
=>x=1
Chuc bn hoc tot