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3x-5 = 1
x - 5 = 0 => x= 5
2x + 2x+1 = 96
2x.(1+2) = 96
2x = 96 : 3= 32
2x = 25
Vậy x = 5
(3x - 2)3 = 2.32 =64
(3x - 2)3 = 43
3x - 2 = 4 => 3x = 6
x = 6 : = 2
149 - (35:x + 3).17 = 13
(35:x + 3).17 = 149 - 13 = 136
35:x + 3 = 136 : 17 = 8
35:x = 8 - 3 = 5
x = 35 : 5 = 7
\(2^{x+2}-2^x=96\)
\(\Rightarrow2^x\cdot2^2-2^x=96\)
\(\Rightarrow2^x\left(2^2-1\right)=96\)
\(\Rightarrow2^x\left(4-1\right)=96\)
\(\Rightarrow2^x\cdot3=96\)
\(\Rightarrow2^x=96:3\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(5^x+5^{x+1}=750\)
\(\Rightarrow5^x+5^x\cdot5=750\)
\(\Rightarrow5^x\left(1+5\right)=750\)
\(\Rightarrow5^x\cdot6=750\)
\(\Rightarrow5^x=750:6\)
\(\Rightarrow5^x=125\)
\(\Rightarrow5^x=5^3\)
\(\Rightarrow x=3\)
\(2^{x+3}+2^x=144\)
\(\Rightarrow2^x\cdot2^3+2^x=144\)
\(\Rightarrow2^x\left(2^3+1\right)=144\)
\(\Rightarrow2^x\cdot9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
\(\left(x-1\right)^3=5^3\Rightarrow x-1=5\Rightarrow x=6\)
\(2^{x+2}-2^x=2^2.2^x-2^x=3.2^x=96\)
\(\Rightarrow2^x=32=2^5\Rightarrow x=5\)
a) \(2^{x+2}-2^2=96\)
<=> \(2^x.2^2-2^x=96\)
<=> \(2^x\left(4-1\right)=96\)
<=> \(3.2^x=96\)
<=> \(2^x=32\)
<=> \(2^x=2^5\)
<=> x = 5
b, \(x-\left(\frac{50x}{100}+\frac{25x}{200}\right)=11\frac{1}{4}\)
\(\Rightarrow x-\left(\frac{1x}{2}+\frac{1x}{8}\right)=\frac{45}{4}\)
\(\Rightarrow x-\left(\frac{4x}{8}+\frac{1x}{8}\right)=\frac{45}{4}\)
\(\Rightarrow x-\frac{5x}{8}=\frac{45}{4}\)
\(\Rightarrow\frac{8x}{8}-\frac{5x}{8}=\frac{45}{4}\)
\(\Rightarrow\frac{3x}{8}=\frac{45}{4}\Rightarrow x=\frac{45}{4}\div\frac{3}{8}=30\)
Vậy x = 30
a/2x+2-2x=96
2x(22-1)=96
2x3=96
2x=96:3
2x=32
2x=25
x=5
b/(x-1)3=125
(x-1)3=53
x-1=5
x=6
c/(2x+1)3=343
(2x+1)3=73
2x+1=7
2x=6
x=3
2x + 2x + 1 = 96
=> 2x(1+2)=96
=>2x.3=96
=> 2x=96:3=32
=> 2x=32=25
=> x=5
Vây x=5
2x + 2x+1 = 96
2x + 2x . 2 =96
2x . (1 + 2)= 96
2x. 3 = 96
2x = 96:3=32
mà 32 = 25 => x = 5
Vậy x = 5