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c, \(5^{x+4}-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot5-3\cdot5^{x+3}=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\left(5-3\right)=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}\cdot2=2\cdot5^{11}\)
\(\Leftrightarrow5^{x+3}=5^{11}\)
\(\Leftrightarrow x+3=11\)
\(\Leftrightarrow x=8\)
Vậy x = 8
d, \(2^x+2^{x+1}+2^{x+2}+2^{x+3}+2^{x+4}+2^{x+5}=480\)
\(\Leftrightarrow2^x\left(1+2+2^2+2^3+2^4+2^5\right)=480\)
\(\Leftrightarrow2^x\cdot63=480\)
\(\Leftrightarrow2^x=\frac{160}{21}\)
\(\Leftrightarrow x\approx2,93\)
5^4-3/100=1/20
3^3+2+1/3*13=3^5/13
5.3^7-5/5.3^5-3=1
2^15+14+13/2^13+12+11=2^6
Câu 1:
\(A=\frac{2^5.7+2^5}{2^5.3-2^5}\)= \(\frac{2^5.8}{2^5.2}\)= 4
Vậy A = 4
Câu 2:
\(B=2^3.5^3-3.\left\{400-\left[673-2^3.\left(7^8:7^6+7^0\right)\right]\right\}\)
\(B=8.125-3.\left\{400-\left[673-8.\left(7^2+1\right)\right]\right\}\)
\(B=1000-3.\left\{400-\left[673-8.\left(49+1\right)\right]\right\}\)
\(B=1000-3.\left\{400-\left[673-8.50\right]\right\}\)
\(B=1000-3.\left\{400-\left[673-400\right]\right\}\)
\(B=1000-3.\left\{400-273\right\}\)
\(B=1000-3.127\)
\(B=1000-381\)
\(B=619\)
Vậy B = 619
\(\Rightarrow P=\frac{3^{11}\left(5+4.3\right)}{3^9\left(5^2-2^3\right)}\)
\(\Rightarrow P=\frac{3^2.17}{17}=3^2=9\)
\(\frac{2^5.3^7-2^5.3^6}{2^5.3^6}=\frac{2^5.3^6.\left(3-1\right)}{2^5.3^6}=2\)
72x - 4.75 = 75.3
72x = 75.3 + 4.75
72x = 75.(3 + 4)
72x = 75.7
72x = 76
2x = 6
x = 6 : 2
x = 4
Xin lỗi bạn nha, cho mình sửa lại kết quả xíu
72x - 4.75 = 75.3
72x = 75.3 + 4.75
72x = 75.(3 + 4)
72x = 75.7
72x = 76
2x = 6
x = 6 : 2
x = 3
a ) \(\frac{2.9+6.7}{8.5+4.2}\)
= \(\frac{2.9+2.3.7}{2.2.2.5+4.2}\)
= \(\frac{9+3.7}{2.5+4.2}\)= \(\frac{30}{18}\)= \(\frac{5}{3}\)
a, 2.9+6.7/8.5+4.2
=2.3.3+2.3.7/2.4.5+2.4
=2.3.(3+7)/2.4.(5+1)
=30/24
=5/4
b,297-15/1188-60
=282/1128
=1/4
c, 2^5.3^7+2^5.3^2/2^6.3^10
=2^5.(3^7+3^2)/2.2^5.3^10
=3^9/2.3.3^9
=1/6
5.3x=5.34
<=> 3x=34( chia cả hai vế cho 5)
<=> x=4
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