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\(2^{x+2}-2^x=96\)
\(\Rightarrow2^x\cdot2^2-2^x=96\)
\(\Rightarrow2^x\left(2^2-1\right)=96\)
\(\Rightarrow2^x\left(4-1\right)=96\)
\(\Rightarrow2^x\cdot3=96\)
\(\Rightarrow2^x=96:3\)
\(\Rightarrow2^x=32\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
\(5^x+5^{x+1}=750\)
\(\Rightarrow5^x+5^x\cdot5=750\)
\(\Rightarrow5^x\left(1+5\right)=750\)
\(\Rightarrow5^x\cdot6=750\)
\(\Rightarrow5^x=750:6\)
\(\Rightarrow5^x=125\)
\(\Rightarrow5^x=5^3\)
\(\Rightarrow x=3\)
\(2^{x+3}+2^x=144\)
\(\Rightarrow2^x\cdot2^3+2^x=144\)
\(\Rightarrow2^x\left(2^3+1\right)=144\)
\(\Rightarrow2^x\cdot9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
2x-49=5.9(m chuyển luôn về từ 32)
2x-49=45
2x=45+49
2x=94
x=94:2
x=47
vậy x=47
200-(2x+6)=64(m cũng làm như câu trên )
2x+6=200-64
2x+6=136
2x=136-36
2x=100
x=100:2
x=50
vậy x=50
a)5.22.23-4(58:56)
=5.4.8-4.52
=20.8-4.25
=20.8-100
=160-100
=60
b)5.35:(38:35)-23.5
=5.35:33-23.5
=5.(35:33)-23
=5.32-23
=5.9-8
=45-8
=37
Cho mk 1 tk nha
\(5.2^2-18:3\)
\(=5.4-18:3\)
\(=20-6=14\)
\(2^3.17-2^3.14\)
\(=8.17-8.14\)
\(=8.\left(17-14\right)\)
\(=8.3\)
\(=24\)
\(75-\left(3.5^2-4.2^3\right)\)
\(=75-\left(3.25-4.8\right)\)
\(=75-\left(75-32\right)\)
\(=75-43\)
\(=32\)
\(150+50:5-2.3^2\)
\(=150+50:5-2.9\)
\(=150+10-18\)
\(=142\)
#Rảnh
\(5^2-\left(5.3^3-4.2^3\right).19=25-\left(135-32\right).19=25-103.19=25-1957=-1932\)
\(215-\left(5^2.2^3+700\right):3^2=215-\left(200+700\right):3^2=215-900:9=215-100=115\)
\(16.25+2^4.75=400+1200=1600\)
\(15.2^3+4.3^2-5.7=120+36-35=121\)
\(\left(2^4:8+5.3^{x+1}\right).2=94\)
\(\Rightarrow\left(2+5.3^{x+1}\right)=94:2=47\)
\(\Rightarrow5.3^{x+1}=47-2=45\)
\(\Rightarrow3^{x+1}=9=3^2\Rightarrow x=2-1=1\)
(24:8 + 5.3x+1) . 2 = 94
2 + 5.3x.3 = 47
15.3x = 45
3x = 3 = 31
=> x = 1
4.5580952381
=45-2=43