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b) \(\frac{4}{9}x-\frac{1}{2}=\frac{-5}{9}\)
\(\Rightarrow\frac{4}{9}x=\frac{-5}{9}+\frac{1}{2}\)
\(\Rightarrow\frac{4}{9}x=\frac{-1}{18}\)
\(\Rightarrow x=\frac{-1}{18}:\frac{4}{9}\)
\(\Rightarrow x=\frac{-1}{8}\)
\(\left(2^2\right)^{30}=4^{30}\)
\(4^{20}=4^{20}\)
Vì \(4^{20}< 4^{30}n\text{ê}n\)
\(2^{60}>4^{20}\)
260 và 420
260=(22)30=430
Vì 4 30> 420
Vậy 260>420
k mk nha
ta có B=..................=5(1+5) + 5^3(1+5)+...+5^7(1+5) = 6*5 + 6*5^3 + 6*5^7 = 6(5+...+5^7) chia hết cho 6
chúc bạn học tốt!
\(2x+11⋮5x+1\)
\(\Rightarrow5\left(2x+11\right)⋮5x+1\)
\(\Rightarrow10x+55⋮5x+1\)
\(\Rightarrow10x+2+53⋮5x+1\)
\(\Rightarrow2\left(5x+1\right)+53⋮5x+1\)
\(2\left(5x+1\right)⋮5x+1\)
\(\Rightarrow53⋮5x+1\)
\(\Rightarrow5x+1\inƯ\left(53\right)=\left\{-1;1;-53;53\right\}\)
\(\Rightarrow5x\in\left\{-2;0;-54;52\right\}\)
\(\Rightarrow x\in\left\{\frac{-2}{5};0;\frac{-54}{5};\frac{52}{5}\right\}\) mà x là số tự nhiên
\(\Rightarrow x=5\)
a) \(\left(2x+\frac{1}{3}\right)^4\ge0\Rightarrow A\ge-1\)
Dấu \(=\)xảy ra khi \(2x+\frac{1}{3}=0\Leftrightarrow x=-\frac{1}{6}\).
b) \(\left(\frac{4}{9}x-\frac{2}{15}\right)^6\ge0\Rightarrow B\le3\)
Dấu \(=\)xảy ra khi \(\frac{4}{9}x-\frac{2}{15}=0\Leftrightarrow x=\frac{3}{10}\).
a) Ta có: 5 .(x+4) = 123 - 38
5 .(x+4) = 85
x+4 = 85 : 5
x+4 = 17
x = 17 - 4
x = 13
Câu b: Tương tự
a) 5 . ( x + 4 ) = 123 - 38
5 . ( x + 4 ) = 85
x + 4 = 85 : 5
x + 4 = 17
x = 17 - 4
x = 13
b ) \(3.x-16=2.7^4:7^3\)
3 . x - 16 = 2 . 7
3 . x - 16 = 14
3 . x =14 + 16
3 . x = 30
x = 30 : 3
x = 10
k mik nhé các bn I LVE YOU VERY MUCH
a,\(4^n.2^n=512\)
\(\Rightarrow2^{2n}.2^n=512\Rightarrow2^{3n}=2^9\Rightarrow3n=9\Rightarrow n=3\)
b,\(3^n+3^{n+3}=252\)( sửa đề )
\(\Rightarrow3^n.\left(1+3^3\right)=252\Rightarrow3^n.28=252\Rightarrow3^n=9\Rightarrow n=2\)
c,\(2.3^{2x+2}=18\)
\(\Rightarrow3^{2n+2}=9\Rightarrow2n+2=2\Rightarrow n=0\)
d,\(x^2=2^3+3^2+4^3\)
\(\Rightarrow x^2=8+9+64\Rightarrow x^2=81\Rightarrow x^2=9^2=\left(-9\right)^2\Rightarrow x=9\)hoặc \(x=-9\)
e,\(x^5=x^9\)
\(\Rightarrow x^9-x^5=0\Rightarrow x^5.\left(x^4-1\right)=0\Rightarrow\hept{\begin{cases}x^5=0\\x^4-1=0\end{cases}\Rightarrow\hept{\begin{cases}x=0\\x=1\\x=-1\end{cases}}}\)
f,\(\left(x-4\right)^3=\left(x-4\right)^{10}\)
\(\Rightarrow\left(x-4\right)^{10}-\left(x-4\right)^3=0\Rightarrow\left(x-3\right)^3.\left[\left(x-3\right)^7-1\right]=0\)
\(\Rightarrow\hept{\begin{cases}\left(x-3\right)^3=0\\\left(x-3\right)^7=1\end{cases}\Rightarrow\hept{\begin{cases}x-3=0\\x-3=1\end{cases}\Rightarrow}\hept{\begin{cases}x=3\\x=4\end{cases}}}\)
a) 123- 5(x+4)=38 b(3x -2^4 )*7^3= 2*7^4
5(x+4) =123-38 (3x-16) = 2*7^4 /7^3
5(x+4)=85 3x-16= 2*7
x+4=85/5 3x-16=14
x+4=17 3x=30
=>x= 13 x= 30/3=10
Nhớ k cho mk nha
a ) \(123-5.\left(x+4\right)=38\)
\(5.\left(x+4\right)=123-38\)
\(5.\left(x+4\right)=85\)
\(x+4=85:5\)
\(x+4=17\)
\(x=17-4\)