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\(4^{x-5}=16\)
\(4^{x-5}=4^2\)
\(x-5=2\)
\(x=2+5\)
\(x=7\)
\(45-2^{x-1}=29\)
\(2^{x-1}=16\)
\(2^{x-1}=2^4\)
\(x-1=4\)
\(x=5\)
\(\left(2+x\right)^2=144\)
\(\left(2+x\right)^2=12^2\)
\(2+x=12\)
\(x=12-2\)
\(x=10\)
\(\left(x-5\right)^2=81\)
\(\left(x-5\right)^2=9^2\)
\(x-5=9\)
\(x=14\)
\(\left(13-x\right)^4=81\)
\(\left(13-x\right)^4=3^4\)
\(13-x=3\)
\(x=13-3\)
\(x=10\)
\(...4^{x-5}=4^2\Rightarrow x-5=2\Rightarrow x=7\)
\(...2^{x-1}=45-29=16\Rightarrow2^{x-1}=2^4\Rightarrow x-1=4\Rightarrow x=5\)
\(...\Rightarrow\left(2+x\right)^2=12^2\Rightarrow\left[{}\begin{matrix}2+x=12\\2+x=-12\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=10\\x=-14\end{matrix}\right.\)
\(...\Rightarrow\left(x-5\right)^2=9^2\Rightarrow\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=8\\x=2\end{matrix}\right.\)
\(...\Rightarrow\left(13-x\right)^4=3^4\Rightarrow\left[{}\begin{matrix}13-x=3\\13-x=-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=10\\x=16\end{matrix}\right.\)
a) x+ 4 là bội của x+1
x + 1 + 3 là bội của x + 1
=> 3 là bội của x => x thuộc{+-1;+-3}
a: \(\Leftrightarrow x+2+18⋮x+2\)
\(\Leftrightarrow x+2\in\left\{1;-1;2;-2;3;-3;6;-6;9;-9;18;-18\right\}\)
hay \(x\in\left\{-1;-3;0;-4;1;-5;4;-8;7;-1;16;-20\right\}\)
b: \(\Leftrightarrow4x+20+39⋮x+5\)
\(\Leftrightarrow x+5\in\left\{1;-1;3;-3;13;-13;39;-39\right\}\)
hay \(x\in\left\{-4;-6;-2;-8;8;-18;34;-44\right\}\)
c: \(\Leftrightarrow2x+1+28⋮2x+1\)
\(\Leftrightarrow2x+1\in\left\{1;-1;2;-2;4;-4;7;-7;14;-14;28;-28\right\}\)
hay \(x\in\left\{0;-1;\dfrac{1}{2};-\dfrac{3}{2};\dfrac{3}{2};-\dfrac{5}{2};3;-4;\dfrac{13}{2};-\dfrac{15}{2};\dfrac{27}{2};-\dfrac{29}{2}\right\}\)
\(\left(5x-29\right)-\left(2x-29\right)=-21\)
\(5x-29-2x+29=-21\)
\(5x-2x=-21+29-29\)
\(3x=-21\)
\(x=-7\)