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5x . 5x + 1 . 7 = 875
\(\Rightarrow\) 52x + 1 = 875 : 7 = 125
\(\Rightarrow\) 52x + 1 = 53
\(\Rightarrow\) 2x + 1 = 3
\(\Rightarrow\) 2x = 2
\(\Rightarrow\) x = 1
5 + 3x + 1 = 86
\(\Rightarrow\) 3x + 1 = 81
\(\Rightarrow\) 3x + 1 = (\(\pm\)3)4
\(\Rightarrow\) x + 1 = \(\pm\)3
\(\Rightarrow\) x = 2, -4
a. (x + 3)2 = 16
(x + 3)2 = 42
x + 3 = 4
x = 4 - 3
x = 1
b. (3.2)x+1 = 96
2x+1 = 96 : 3
2x + 1 = 32
2x+1 = 25
x +1 = 5
x = 5 - 1
x = 4
c. 3(x - 5)2 = 27
(x - 5)2 = 27 : 3
(x - 5)2 = 9
(x - 5)2 = 32
x - 5 = 3
x = 3 + 5
x = 8
d. 2x. 5 = 80
2x = 80 : 5
2x = 16
2x = 24
x = 4
a) \(\left(x+3\right)^2=16\)
\(\left(x+3\right)^2=4^2\)
\(x+3=4\)
\(x=4-3=1\)
Vậy x = 1
b) \(\left(3.2\right)^{x+1}=96\)
\(\left(3.2\right)^{x+1}=2^5.3\)
\(2^{x+1}=2^5\)
\(x+1=5\)
\(x=5-1=4\)
Vậy x = 4
c) \(3\left(x-5\right)^2=27\)
\(\left(x-5\right)^2=9\)
\(\left(x-5\right)^2=3^2\)
\(x-5=3\)
\(x=5+3=8\)
Vậy x = 8
d) \(2^{\left(x.5\right)}=80\)
\(1^{\left(x.5\right)}=40\)
\(x.5=2^3.5\)
\(x=2^3=8\)
Vậy x = 8
2^x+2^x-1 = 96
<=> 2^x-1.(2+1) = 96
<=> 2^x-1 . 3 = 96
<=> 2^x-1 = 96 : 3 = 32 = 2^5
=> x-1 = 5
=> x=6
\(\left(2x+1\right):7=2^2+3^2 \)
\(\Leftrightarrow\left(2x+1\right):7=13\)
\(\Leftrightarrow2x+1=13.7\)
\(\Leftrightarrow2x+1=91\)
\(\Leftrightarrow2x=90\)
\(\Leftrightarrow x=45\)
\(400-x.3=100\)
\(\Leftrightarrow-x.3=400-100\)
\(\Leftrightarrow-x.3=300\)
\(\Leftrightarrow-x=300:3\)
\(\Leftrightarrow x=100\)
\(96-3\left(x+8\right)=42\)
\(\Leftrightarrow3\left(x+8\right)=96-42\)
\(\Leftrightarrow3\left(x+8\right)=54\)
\(\Leftrightarrow x+8=54:3\)
\(\Leftrightarrow x+8=18\)
\(\Leftrightarrow x=10\)
\(15.5\left(x-35\right)-525=0\)
\(\Leftrightarrow75\left(x-35\right)-525=0\)
\(\Leftrightarrow75\left(x-35\right)=525\)
\(\Leftrightarrow75x-2625=525\)
\(\Leftrightarrow75x=525+5625\)
\(\Leftrightarrow75x=3150\)
\(\Leftrightarrow x=42\)
- Chúc bạn làm bài tốt !
\(2^{x+2}-2^x=96\)
\(2^x.\left(2^2-1\right)=96\)
\(2^x.3=96\)
\(2^x=96:3\)
\(2^x=32\)
\(2^x=2^5\)
\(x=5\)