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a)\(\left(x-1\right)^3=8\)
\(\Leftrightarrow\left(x-1\right)^3=\left(2\right)^3\)
\(\Leftrightarrow x-1=2\)
\(\Leftrightarrow x=3\)
b)\(2^{x+2}-2^x=96\)
\(\Leftrightarrow2^x.2^2-2^x=96\)
\(\Leftrightarrow2^x\left(2^2-1\right)=96\)
\(\Leftrightarrow2^x=32=2^5\)
\(\Leftrightarrow x=5\)
c)\(\left(2x+1\right)^3=343\)
\(\Leftrightarrow\left(2x+1\right)^3=7^3\)
\(\Leftrightarrow\left(2x+1\right)=7\)
\(\Leftrightarrow x=3\)
d)\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(\Leftrightarrow720:\left[46-2x\right]=40\)
\(\Leftrightarrow46-2x=18\)
\(\Leftrightarrow2x=28\)
\(\Leftrightarrow x=14\)
a) \(\left(x-1\right)^3=125\)
\(\Leftrightarrow\left(x-1\right)^3=5^3\)
\(\Leftrightarrow x-1=5\)
\(\Leftrightarrow x=5+1\)
\(\Leftrightarrow x=6\)
Vậy \(x=6\)
b) \(2^{x+2}-2^x=96\)
\(\Leftrightarrow\left(2^2-1\right)\cdot2^x=96\)
\(\Leftrightarrow\left(4-1\right)\cdot2^x=96\)
\(\Leftrightarrow3\cdot2^x=96\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
c) \(\left(2x+1\right)^3=343\)
\(\Leftrightarrow\left(2x+1\right)^3=7^3\)
\(\Leftrightarrow2x+1=7\)
\(\Leftrightarrow2x=7-1\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=3\)
Vậy \(x=3\)
d) \(720:\left[41-\left(2x-5\right)\right]=2^3\cdot5\)
\(\Leftrightarrow720:\left[41-\left(2x-5\right)\right]=2^3\cdot5\left(đk:x\ne23\right)\)
\(\Leftrightarrow720:\left(41-2x+5\right)=8\cdot5\)
\(\Leftrightarrow720:\left(46-2x\right)=40\)
\(\Leftrightarrow\dfrac{720}{46-2x}=40\)
\(\Leftrightarrow\dfrac{720}{2\left(23-x\right)}=40\)
\(\Leftrightarrow\dfrac{360}{23-x}=40\)
\(\Leftrightarrow360=40\left(23-x\right)\)
\(\Leftrightarrow9=23-x\)
\(\Leftrightarrow x=23-9\)
\(\Leftrightarrow x=14\left(đk:x\ne23\right)\)
\(\Leftrightarrow x=14\)
Vậy \(x=14\)
e) \(2^x\cdot7=224\)
\(\Leftrightarrow7\cdot2^x=224\)
\(\Leftrightarrow2^x=32\)
\(\Leftrightarrow2^x=2^5\)
\(\Leftrightarrow x=5\)
Vậy \(x=5\)
f) \(\left(3x+5\right)^2=289\)
\(\Leftrightarrow3x+5=\pm17\)
\(\Leftrightarrow\left[{}\begin{matrix}3x+5=17\\3x+5=-17\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{22}{3}\end{matrix}\right.\)
Vậy \(x_1=-\dfrac{22}{3};x_2=4\)
a)\(\left(x-1\right)^3=125\Leftrightarrow\left(x-1\right)^3=5^3\Leftrightarrow x-1=5\Leftrightarrow x=6\)b)\(2^{x+2}-2^x=96\Leftrightarrow2^x.2^2-2^x=96\Leftrightarrow2^x\left(2^2-1\right)=96\Leftrightarrow2^x.3=96\Leftrightarrow2^x=32\Leftrightarrow x=5\)c)\(\left(2x-1\right)^3=343\Leftrightarrow\left(2x-1\right)^3=7^3\Leftrightarrow2x-1=7\Rightarrow2x=8\Rightarrow x=4\)d)\(720:\left[41-\left(2x-5\right)\right]=2^3.5\)
\(720:\left[41-\left(2x-5\right)\right]=40\Leftrightarrow\left[41-\left(2x-5\right)\right]=720:40=18\)
\(\Leftrightarrow41-2x+5=18\Leftrightarrow36-2x=18\Leftrightarrow2x=18\Leftrightarrow x=9\)
e)\(2^x.7=224\Leftrightarrow2^x=224:7=32\Leftrightarrow2^x=2^5\Leftrightarrow x=5\)
f) \(\left(3x+5\right)^2=289\Leftrightarrow\left(3x+5\right)=17^2\Leftrightarrow3x+5=17\Leftrightarrow3x=12\Leftrightarrow x=4\)
\(\left(x-1\right)^3=125\)
\(\left(x-1\right)^3=5^3\)
\(=>x-1=5\)
\(x=6\)
Tương tự các câu cn lại
a) ( x - 1 ) 3 = 125
( x - 1 ) 3 = 53
x - 1 = 5
x = 5 + 1
x = 6
tích nha
\(a,2^{x+2}-2^x=96\)
\(=>2^x.2^2-2^x=96\)
\(=>2^x.\left(4-1\right)=96\)
\(=>2^x.3=96\)
\(=>2^x=96:3=32\)
\(=>2^x=2^5\)
\(=>x=5\)
\(b,720:\left[41.\left(2x-5\right)\right]=2^3.125:5^2\)
\(=>720:\left[41.\left(2x-5\right)\right]=8.125:25\)
\(=>720:\left[41.\left(2x-5\right)\right]=8.5=40\)
\(=>41.\left(2x-5\right)=720:40=18\)
\(=>2x-5=18:41=\frac{18}{41}\)
\(=>2x=\frac{18}{41}+5=\frac{223}{41}\)
\(=>x=\frac{223}{41}:2=\frac{223}{62}\)
\(c,\left(-2x+7\right)^{19}=\left(-2x+7\right)^{19}.\left(x+1\frac{1}{4}\right)^2\)
\(=>\left(-2x+7\right)^{19}:\left(-2x+7\right)^{19}=\left(x+\frac{5}{4}\right)^2\)
\(=>1=\left(x+\frac{5}{4}\right)^2\)
\(=>1^2=\left(x+\frac{5}{4}\right)^2\)
\(=>1=x+\frac{5}{4}\)
\(=>x=1-\frac{5}{4}=-\frac{1}{4}\)
Chúc bạn Hk tốt!!!!
Và giữ đúng lời hứa trên@@!!!!!
a) b)
(x-140):7=3 720:[41-(2x+5)]=10
x-140=21 41-(2x+5)=72
x=161 2x+5=(-31)
2x=(-36)
x=-18
\(\left(2x+1\right)^3=7^3\)(mk nghĩ là 343)
=>2x+1=7
=>x=3
b)\(2^x\left(2^2-1\right)=96\)
\(2^x.3=96\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
c) \(41-\left(2x-5\right)=720:2^3:5\)
\(41-2x+5=18\)
\(-2x=-28\)
=>x=14
câu a bn ghi là 243 nhưng căn bậc 3 của 243 lẻ nên mk thay vào là 343.