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\(\left(x^{54}\right)^2=x^{54.2}=x^{108}\\ Mà:\left(x^{54}\right)^2=5^{108}\Leftrightarrow x^{108}=5^{108}=\left(-5\right)^{108}\\ Vậy:x=5.hoặc.x=-5\\ ---\\ \left(5^x\right)^2=125^3:5^2\\ \Leftrightarrow5^{2x}=\left(5^3\right)^3:5^2=5^9:5^2=5^7\\ Vậy:2x=7\\ Vậy:x=\dfrac{7}{2}\)
\(\left(x^{54}\right)^2=5^{108}\\ \Rightarrow x^{108}=5^{108}\)
\(\Rightarrow x=5.\)
\(\left(5^x\right)^2=125^3:5^2\\ \Rightarrow\left(5^x\right)^2=\left(5^3\right)^3:5^2\\ \Rightarrow\left(5^x\right)^2=5^9:5^2\\ \Rightarrow\left(5^x\right)^2=5^7\\ \Rightarrow x.2=5\\ \Rightarrow x=2,5\)
c.
\(5^3.73-5^3.36-37.25\)
\(=5^3\left(73-36\right)-37.5^2\)
\(=5^3.37-37.5^2\)
\(=5^2.37\left(5-1\right)\)
\(=5^2.37.4=100.37=3700\)
d.
\(45+15.13-3.2^4=15\left(3+13\right)-3.16\)
\(=15.16-3.16=16.\left(15-3\right)=16.12=192\)
1/2 x 2 - 1/3 x 2 + 1/15 x 2
=( 1/2 - 1/3 + 1/15 ) x 2
=7/30 x 2
=7/15
\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
a) x + 3/5 = -1/15
=> x = -1/15 - 3/5
=> x = -2/3
b) x/14 = 1/7 - 3/14
=> x/14 = -1/14
=> x = -1
c) -1/2x + 1/5 = 3/10
=> -1/2x = 3/10 - 1/5
=> -1/2x = 1/5
=> x = 1/5 : (-1/2)
=> x = -2/5
d) 4/5 - (2/15 + x) = 1/15
=> 4/5 - 2/15 - x = 1/15
=> 2/3 - x = 1/15
=> x = 2/3 - 1/15
=> x = 3/5
\(a,3\left(x-5\right)-4\left(x-3\right)=-12\)
\(\Leftrightarrow3x-15-4x+12=-12\)
\(\Leftrightarrow-x=-9\)
\(\Leftrightarrow x=9\)
Vậy x=9
x= bao nhiu bạn
đề bài nó v á b