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a) ta có A=\(15^{120}:25^{60}=3^{120}.5^{120}:5^{120}=3^{120}=9^{60}\)
B=\(2^{45}.2^{15}.4^{60}=2^{60}.2^{120}=2^{180}=8^{60}\)
-> A<B
b) bạn chỉ cần tính từng cái ra là dc ý ,ak dễ lắm nếu bạn chăm chỉ
a)\(\left(\frac{4}{5}\right)^{2x+7}=\left(\frac{4}{5}\right)^4\)
=> 2x + 7 = 4
2x = 4 - 7
2x = -3
x = -3 : 2
x = -1,5
Vậy x = -1,5
\(a=15^{120}:25^{60}\)
\(a=3^{120}.5^{120}:\left(5^2\right)^{60}\)
\(a=3^{120}.5^{120}:5^{120}\)
\(a=3^{120}\)
\(b=2^{45}.2^{15}.4^{60}\)
\(b=2^{60}.\left(2^2\right)^{60}\)
\(b=2^{60}.2^{120}\)
\(b=2^{180}\)
ta co \(a=3^{120}=\left(3^2\right)^{60}=9^{60}\)
\(b=2^{180}=\left(2^3\right)^{60}=8^{60}\)
vi \(9^{60}>8^{60}\) nen \(3^{120}>2^{180}\)
vay \(a>b\)
a) \(\left|2x+\frac{3}{4}\right|=\frac{1}{2}\)
\(\orbr{\begin{cases}2x+\frac{3}{4}=\frac{1}{2}\\2x+\frac{3}{4}=\frac{-1}{2}\end{cases}}\) => \(\orbr{\begin{cases}2x=\frac{1}{2}-\frac{3}{4}\\2x=\frac{-1}{2}-\frac{3}{4}\end{cases}}\) => \(\orbr{\begin{cases}2x=\frac{-1}{4}\\2x=\frac{-5}{4}\end{cases}}\) => \(\orbr{\begin{cases}x=\frac{-1}{8}\\x=\frac{-5}{8}\end{cases}}\)
Vậy \(x=\left\{\frac{-1}{8},\frac{-5}{8}\right\}\)
b) \(\frac{3x}{2,7}=\frac{\frac{1}{4}}{2\frac{1}{4}}\)= \(\frac{3x}{2,7}=\frac{\frac{1}{4}}{\frac{9}{4}}\)
=> \(3x.\frac{9}{4}=2,7.\frac{1}{4}\)=> \(\frac{27x}{4}=\frac{27}{40}\)
\(27x.40=27.4\)
\(1080.x=108\)
\(x=\frac{1}{10}\)
Vậy \(x=\frac{1}{10}\)
c) \(\left|x-1\right|+4=6\)
\(\left|x-1\right|=6-4\)
\(\left|x-1\right|=2\)
\(\orbr{\begin{cases}x-1=2\\x-1=-2\end{cases}}\)=> \(\orbr{\begin{cases}x=3\\x=-1\end{cases}}\)
Vậy \(x=\left[3,-1\right]\)
d) \(\frac{x}{3}=\frac{y}{5}=>\frac{y}{5}=\frac{x}{3}=>\frac{y-x}{5-3}=\frac{24}{2}=12\)
e) \(\left(x^2-3\right)^2=16\)
\(\left(x^2-3\right)^2=4^2\)\(=>x^2-3=4\)
\(x^2=7=>x=\sqrt{7}\)
Vậy \(x=\sqrt{7}\)
f) \(\frac{3}{4}+\frac{2}{5}x=\frac{29}{60}\)
\(\frac{2}{5}x=\frac{29}{60}-\frac{3}{4}\)
\(\frac{2}{5}x=-\frac{4}{15}\)
\(x=-\frac{4}{15}:\frac{2}{5}=-\frac{4}{15}.\frac{5}{2}=-\frac{2}{3}\)
Vậy \(x=-\frac{2}{3}\)
g) \(\left(-\frac{1}{3}\right)^3.x=\frac{1}{81}\)
\(\left(-\frac{1}{27}\right).x=\frac{1}{81}\)
\(x=\left(-\frac{1}{27}\right):\frac{1}{81}=\left(-\frac{1}{27}\right).81=-3\)
Vậy \(x=-3\)
k)\(\frac{3}{4}-\frac{2}{5}x=\frac{29}{60}\)
\(\frac{2}{5}x=\frac{3}{4}-\frac{29}{60}\)
\(\frac{2}{5}x=\frac{4}{15}\)
\(x=\frac{2}{5}-\frac{4}{15}=>x=\frac{2}{15}\)
Vậy \(x=\frac{2}{15}\)
I) \(\frac{3}{5}x-\frac{1}{2}=-\frac{1}{7}\)
\(\frac{3}{5}x=-\frac{1}{7}+\frac{1}{2}\)
\(\frac{3}{5}x=\frac{5}{14}\)
\(x=\frac{5}{14}:\frac{3}{5}=\frac{5}{14}.\frac{5}{3}=\frac{25}{42}\)
Vậy \(x=\frac{25}{42}\)
a)\(2^{3x+2}=4^{x+5}\)
\(2^{3x+2}=2^{2x+10}\)
\(\Rightarrow3x+2=2x+10\)
\(\Rightarrow x=8\)
Vậy \(x=8\)
b) \(3^{x+1}=9^x\)
\(3^{x+1}=3^{2x}\)
\(\Rightarrow x+1=2x\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
c) \(\left(\frac{4}{5}\right)^{2x+7}=\frac{625}{256}\)
\(\left(\frac{4}{5}\right)^{2x+7}=\frac{5^4}{4^4}\)
\(\frac{4^{2x+7}}{5^{2x+7}}=\frac{5^4}{4^4}\)
\(\Rightarrow5^{2x+7}.5^4=4^{2x+7}.4^4\)
\(\Leftrightarrow5^{2x+11}=4^{2x+11}\)
\(\Leftrightarrow5=4\)( vô lý )
\(\Rightarrow\)x không có giá trị
Vậy không tìm được giá trị của x
Fan alibaba nguyễn~
\(a=\left(15^2\right)^{60}:25^{60}\)
\(a=225^{60}:25^{60}\)
\(a=\left(225:25\right)^{60}=9^{60}\)
\(b=2^{45}.2^{15}.2^{120}\)
\(b=2^{180}=8^{60}\)
vì \(8^{60}< 9^{60}\)nên b<a
1,\(\left(\frac{4}{5}\right)^{2x+7}=\left(\frac{4}{5}\right)^{-4}\)
\(\Rightarrow\)2x+7=-4
2x=-11
x=-5,5