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=1,3125
giúp tớ nhé ,tớ mới bị từ 290
ai giúp mình mình giúp lại
cảm ơn trước
\(=\dfrac{3^8\cdot2^{10}\cdot5^6}{2^9\cdot3^6\cdot5^7}=3^2\cdot\dfrac{2}{5}=\dfrac{18}{5}\)
\(\dfrac{9^4\cdot4^5\cdot25^3}{8^3\cdot27^2\cdot5^7}\)
\(=\dfrac{\left(3^2\right)^4\cdot\left(2^2\right)^5\cdot\left(5^2\right)^3}{\left(2^3\right)^3\cdot\left(3^3\right)^2\cdot5^7}\)
\(=\dfrac{3^8\cdot2^{10}\cdot5^6}{2^9\cdot3^6\cdot5^7}\)
\(=\dfrac{3^2\cdot2\cdot1}{1\cdot1\cdot5}\)
\(=\dfrac{18}{5}\)
\(125.5>5^n>5.25\)
=> \(5^3.5>5^n>5.5^2\)
=>\(5^4>5^n>5^3\)
=> \(4>n>3\)
=> \(n=2\)
Chúc bạn Hk tốt!!!
\(7x\left(2+x\right)-7x\left(x+3\right)=14\)
\(\Rightarrow7x\left[\left(2+x\right)-\left(x+3\right)\right]=14\)
\(\Rightarrow7x\left[2+x-x-3\right]=14\)
\(\Rightarrow7x.\left(-1\right)=14\)
\(\Rightarrow-7x=14\)
\(\Rightarrow x=14:-7\)
\(\Rightarrow x=-2\)
Vậy x = -2
_Chúc bạn học tốt_
Lời giải:
\(\frac{20^4.15^5}{12^5.25^4}=\frac{(2^2.5)^4.(3.5)^5}{(2^2.3)^5.(5^2)^4}=\frac{2^8.5^4.3^5.5^5}{2^{10}.3^5.5^8}\)
\(=\frac{2^8.5^9.3^5}{2^{10}.3^5.5^8}=\frac{2^8.5^8.5.3^5}{2^8.2^2.3^5.5^8}=\frac{5}{2^2}=\frac{5}{4}\)
=>5.(52)x+1=(53)x
=>5.52x+2=53x
=>52x+2+1=53x
=>2x+2+1=3x
=>3=3x-2x
=>x.(3-2)=3
=>x=3
5.25^x+1=125^x
5(5^2)^x+1=(5^3)^x
5.5^2x+2=5^3x
5^2x+2+1=5^3x
suy ra 2x+3=3x
2x-3x=-3
-x=-3
x=3
a: \(=\dfrac{2^5\cdot3^5\cdot2^{12}\cdot2^{16}\cdot5^{16}}{2^{30}\cdot3^{10}\cdot5^{16}}=\dfrac{2^{33}\cdot3^5}{2^{30}\cdot3^{10}}=\dfrac{8}{243}\)
c: \(=\dfrac{4^7\cdot3^{12}\cdot5^4+3^{12}\cdot5^6\cdot4^7}{2^{14}\cdot3^{14}\cdot5^4+2^{14}\cdot3^{14}\cdot5^6}\)
\(=\dfrac{2^{14}\cdot3^{12}\cdot5^4\left(1+25\right)}{2^{14}\cdot3^{14}\cdot5^4\left(1+25\right)}=\dfrac{1}{9}\)
\(\dfrac{8^2\cdot5^4}{2^5\cdot25}=\dfrac{8\cdot8\cdot5^2\cdot5^2}{2^3\cdot2^2\cdot5^2}=\dfrac{2^3\cdot2^3\cdot5^2\cdot5^2}{2^3\cdot2^2\cdot5^2}=2\cdot5^2=2\cdot25=50\)
https://olm.vn/hoi-dap/tim-kiem?q=%7C2x-9%7C+%7C3x-13%7C-%7C14-5x%7C+%7C19-(4x+12)%7C=56t%C3%ACm+x&id=191953
\(\Leftrightarrow\left[{}\begin{matrix}14-19x=7x-15\\19x-14=7x-15\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}26x=29\\12x=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{29}{26}\\x=-\dfrac{1}{12}\end{matrix}\right.\)
\(-14:4,1=-7x:5.25\)
\(-7x:5.25=-\frac{140}{41}\)
\(-7x:5=-\frac{140}{41}:25\)
\(-7x:5=-\frac{140}{41}.\frac{1}{25}\)
\(-7x:5=-\frac{28}{205}\)
\(-7x=-\frac{28}{205}.5\)
\(-7x=-\frac{28}{41}\)
\(\Rightarrow x=-\frac{28}{41}:-7\)
\(x=-\frac{28}{41}.-\frac{1}{7}\)
\(x=\frac{4}{41}\)
Vậy x=4/41
Chúc bạn học tốt