Tìm x:5^2x×5×5^x=625
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5^2.x . 55^x = 625
=> 25.x.55^x=5^4
=> x.55^x=25
Giải ra ta được kết quả : 2113/2500
\(5^1+2x\div5=625\)
\(\Leftrightarrow2x\div5=620\)
\(\Leftrightarrow x=1550\)
P/s tham khảo nha
52x.55x=625
\(\Rightarrow\)(52)x.55x=625
\(\Rightarrow\)25x.55x=625
\(\Rightarrow\)1375x=625
\(\Rightarrow\)sai đề
\(1+3+5+...+2x+1=625\)
\(\Rightarrow\left[\left(2x+1-1\right):2+1\right]\cdot\left(2x+1+1\right):2=625\)
\(\Rightarrow\left(2x:2+1\right)\cdot\left(2x+2\right):2=625\)
\(\Rightarrow\left(x+1\right)\cdot2\left(x+1\right):2=625\)
\(\Rightarrow\left(x+1\right)^2=625\)
\(\Rightarrow\left(x+1\right)^2=25^2\)
\(\Rightarrow\left[{}\begin{matrix}x+1=25\\x+1=-25\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=24\\x=-26\end{matrix}\right.\)
a: =>2x+5=4
=>2x=-1
hay x=-1/2
b: \(\Leftrightarrow\left(3x-4\right)^2\cdot\left[\left(3x-4\right)^2-1\right]=0\)
=>(3x-4)(3x-5)(3x-3)=0
hay \(x\in\left\{1;\dfrac{4}{3};\dfrac{5}{3}\right\}\)
c: \(\Leftrightarrow3^{x+1}=3^{2x}\)
=>2x=x+1
=>x=1
d: \(\Leftrightarrow2^{2x+3}=2^{2x-10}\)
=>2x+3=2x-10
=>0x=-13(vô lý)
a) \(\left(2x+\frac{3}{5}\right)^2-\frac{9}{25}=0\)
\(\left(2x+\frac{3}{5}\right)^2=\frac{9}{25}\)
\(\left(2x+\frac{3}{5}\right)^2=\left(\frac{3}{5}\right)^2\)
\(=>2x+\frac{3}{5}=\frac{3}{5}\)
\(2x=\frac{3}{5}-\frac{3}{5}\)
\(2x=0\)
\(x=0:2\)
\(x=0\)
b) \(\left(3x-1\right).\left(-\frac{1}{2x}+5\right)=0\)
=> \(\left(3x-1\right)=0\)hoặc \(\left(-\frac{1}{2x}+5\right)=0\)hoặc \(\left(3x-1\right)\)và\(\left(-\frac{1}{2x}+5\right)\)cùng bằng 0.
\(\orbr{\begin{cases}3x-1=0\\-\frac{1}{2x}+5=0\end{cases}}=>\orbr{\begin{cases}3x=1\\-\frac{1}{2x}=-5\end{cases}}=>\orbr{\begin{cases}x\in\varnothing\\2x=\frac{1}{5}\end{cases}}=>x=\frac{1}{5}:2=>x=\frac{1}{10}\)
52x×5×5x=625
=>52x×5×5x=54
=>52x+1+x=54
=>2x+1+x=4
=>3x+1=4
=>3x=4-1=3
=>x=1