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1) \(2^x-15=17\)
\(\Leftrightarrow2^x=32=2^5\)
\(\Rightarrow x=5\)
2) \(\left(7x-11\right)^3=25\cdot5^2+200\)
\(\Leftrightarrow\left(7x-11\right)^3=825\)
\(\Leftrightarrow7x-11=\sqrt[3]{825}\)
\(\Leftrightarrow7x=11+\sqrt[3]{825}\)
\(\Rightarrow x=\frac{11+\sqrt[3]{825}}{7}\)
3) \(\left(x+1\right)^{100}-3\left(x+1\right)^{99}=0\)
\(\Leftrightarrow\left(x+1\right)^{99}\left(x-2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}\left(x+1\right)^{99}=0\\x-2=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=-1\\x=2\end{cases}}\)
4) \(4x+5\left(x+3\right)=105\)
\(\Leftrightarrow9x+15=105\)
\(\Leftrightarrow9x=90\)
\(\Rightarrow x=10\)
5) \(5\cdot\left(x-2\right)+10\left(x+3\right)=170\)
\(\Leftrightarrow5\left[x-2+2\left(x+3\right)\right]=170\)
\(\Leftrightarrow3x+4=34\)
\(\Leftrightarrow3x=30\)
\(\Rightarrow x=10\)
a) y*(3,6+6,4)=18,9
y*10=18,9
y=1,89
b)(9,4+ 5,3):y=14
14,7:y=14
y=1,05
a, 514 \(\times\) \(x\) = 517
\(x\) = 517 : 514
\(x\) = 53
b, 5\(^x\) + 5\(^{x+2}\) + 5\(^{x+4}\) = 1948
5\(^x\) .( 1 + 52 + 54) = 1948
5\(^x\). ( 1 + 25 + 625) = 1948
5\(^x\) . 651 = 1948
5\(^x\) = 1948 : 651 ( xem lại đề bài )
c, 27 \(\times\) \(x\) - 100 = 1948
27 \(\times\) \(x\) = 1948 + 100
27 \(\times\) \(x\) = 2048
\(x\) = 2048 : 27
\(x\) = \(\dfrac{2048}{27}\)
\(a,5^{14}.x=5^{17}\\ x=\dfrac{5^{17}}{5^{14}}=5^{17-14}=5^3=125\\ ----\\ b,5^x+5^{x+2}+5^{x+4}=16275\\ 5^x.\left(1+5^2+5^4\right)=16275\\ 5^x.651=16275\\ 5^x=\dfrac{16275}{651}=25=5^2\\ Vậy:x=2\\ -----\\ c,2^7.x-100=1948\\ 128.x=1948+100=2048\\ x=\dfrac{2048}{128}=16\)
\(60+x-34=43\Rightarrow x=43+34-60=17\)
\(23x-6.23+69x=230\)
\(\Rightarrow23x+69x=230+6.23\)
\(\Rightarrow92x=368\Rightarrow x=368:92\Rightarrow x=4\)
\(\left(15.24-x\right):0,25=100:0,25\)
\(\Rightarrow\left(360-x\right)=100:0,25.0,25\)
\(\Rightarrow360-x=100\Rightarrow x=360-100=260\)
\(\left(7x+8\right):5=10\Rightarrow\left(7x+8\right)=10.5\)
\(\Rightarrow7x+8=50\Rightarrow7x=50-8\Rightarrow7x=42\Rightarrow x=42:7=6\)
\(280:\left(7+3x\right)=4\Rightarrow\left(7+3x\right)=280:4\)
\(\Rightarrow7+3x=70\Rightarrow3x=70-7\Rightarrow3x=63\Rightarrow x=63:3=21\)
\(\left(x+5\right)x19:13=57\)
\(\Rightarrow\left(x+5\right)x19=57.13\)
\(\Rightarrow\left(x+5\right)=741:19\Rightarrow x+5=39\Rightarrow x=39-5=34\)
\(4\left(36-4x\right)=64\)
\(\Rightarrow\left(36-4x\right)=64:4\)
\(\Rightarrow36-4x=16\)
\(\Rightarrow4x=36-16\Rightarrow4x=20\Rightarrow x=20:4=5\)
\(\left(7,6:1,9\right)x=3,2\)
\(\Rightarrow4x=3,2\Rightarrow x=3,2:4=0,8\)
\(\left(x:2+50\right):5=12\)
\(\Rightarrow x:2+50=12.5\)
\(\Rightarrow x:2=60-50\Rightarrow x:2=10\Rightarrow x=10.2=20\)
\(x\cdot2,3+\dfrac{x}{10}=7,56\)
\(23x+x=75,6\)
\(x=3,15\)
a: =>2,4*x=7,56
=>x=2,4
b: =>x*4+x*11=1,8
=>15x=1,8
=>x=0,12
c: =>x*2,5-x*2=1,2
=>0,5*x=1,2
=>x=2,4
d: =>x*3,05-x*0,01=7,6
=>x*3,04=7,6
=>x=2,5