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1) 6x+x=28 => 7x=28 => x= 28:7=4.
2) \(5x+x=39-3^{11}:3^9=>6x=39-3^2=>6x=39-9=>6x=30=>x=30:6=5\)
3) \(7x-x=5^{21}:5^{19}+3.2^2-7^0.7\)
\(6x=5^2+3.4-1.7=>6x=25+12-7=>6x=30=>x=30:6=5.\)
4)\(7x-2x=6^{17}:6^{15}+44:11=>5x=6^2+4=>5x=36+4=>5x=40=>x=40:5=8.\)
7x-x=521:519+3.22-70
=> 6x = 5^2 + 12 -1
=> 6x = 36
=> x = 36/6 = 6
Kết quả 6
Học tốt
5^6+5^7+5^8
=5^6.(1+5+5^2)
=5^6.31 chia hết cho 31
7^6+7^5-7^4
=7^4.(7^2+7-1)
=7^4.55 chia hết cho 11
BÀI 2:
a) \(5^6+5^7+5^8=5^6\left(1+5+5^2\right)=5^6.31\) \(⋮\)\(31\)
b) \(7^6+7^5-7^4=7^4.\left(7^2+7-1\right)=7^4.55\)\(⋮\)\(11\)
c) \(2^3+2^4+2^5=2^3.\left(1+2+2^2\right)=2^3.7\)\(⋮\)\(7\)
d) mk chỉnh đề
\(1+2+2^2+2^3+...+2^{59}\)
\(=\left(1+2\right)+\left(2^2+2^3\right)+...+\left(2^{58}+2^{59}\right)\)
\(=\left(1+2\right)+2^2\left(1+2\right)+...+2^{58}\left(1+2\right)\)
\(=\left(1+2\right)\left(1+2^2+...+2^{58}\right)\)
\(=3\left(1+2^2+...+2^{58}\right)\)\(⋮\)\(3\)
a)\(2^x.4=128\Leftrightarrow2^x=32\Leftrightarrow2^x=2^5\Rightarrow x=5\)
b)\(\left(2x+1\right)=125\Leftrightarrow2x=126\Leftrightarrow x=13\)
c)\(x^{15}=x\Leftrightarrow\orbr{\begin{cases}x=\pm1\\x=0\end{cases}}\)
d) \(\left(x-5\right)^4=\left(x-5\right)^5\Leftrightarrow\orbr{\begin{cases}x-5=1\\x-5=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=6\\x=5\end{cases}}\)
a,
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
b,
2x = 124
x = 62
c,
\(x^{15}-x=0\)
\(x\left(x^{14}-1\right)=0\)
\(\orbr{\begin{cases}x=0\\x^{14}-1=0\end{cases}}\)
\(\orbr{\begin{cases}x=0\\x^{14}=1\end{cases}}\)
\(\orbr{\begin{cases}x=0\\x=\pm1\end{cases}}\)
d,
\(0=\left(x-5\right)^5-\left(x-5\right)^4\)
\(\left(x-5\right)^4\left(x-5-1\right)=0\)
\(\orbr{\begin{cases}\left(x-5\right)^4=0\\x-6=0\end{cases}}\)
\(\orbr{\begin{cases}x=5\\x=6\end{cases}}\)
\(a,x^{10}=1\Leftrightarrow x=1\)
b, 2x = 256 <=> 2x = 28 <=> x = 8
c, x10 = x
<=> \(x^{10}-x=0\)
<=> \(x\left[x^9-1\right]=0\)
<=> x = 0 hoặc x = 1
d, \((2x-15)^5=(2x-15)^3\)
<=> \((2x-15)^5-(2x-15)^3=0\)
<=> \((2x-15)^2.\left[1-(2x-15)^3\right]=0\)
<=> \(\orbr{\begin{cases}2x-15=0\\1-(2x-15)^3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{15}{2}\\2x-15=\pm1\end{cases}}\)
Tìm nốt x đi .
Lâu lâu chưa dạng gặp dạng này
e) \(\frac{11.3^{22}.9.35-9.15}{\left(2.3^{14}\right)^2}\)
\(=\frac{11.3^{22}.3^2.5.7-3^2.3.5}{2^2.3^{28}}\)
\(=\frac{3^3.5.\left(11.3^{20}.7-1\right)}{2^2.3^{28}}\)
\(=\frac{5.\left(11.3^{20}.7-1\right)}{2^2.3^{25}}\)
Đề bài sai ko vậy ?? kết quả ko có ra phân số hoặc số nguyên mà là số mà bạn chưa học đâu
a) \(63^7< 64^7=\left(2^6\right)^7=2^{42}< 2^{48}=\left(2^4\right)^{12}=16^{12}\Rightarrow63^7< 16^{12}\)
b) \(3^{151}>3^{150}=\left(3^2\right)^{75}=9^{75}>8^{75}=\left(2^3\right)^{75}=2^{225}\)
c) \(9^{20}=\left(3^2\right)^{20}=3^{40}>3^{39}=\left(3^3\right)^{13}=27^{13}\Rightarrow9^{20}>27^{13}\)
bài 2:
a)\(2^x=32\Leftrightarrow2^x=2^5\Leftrightarrow x=5\)
b)\(2x+3^4=7^2\Leftrightarrow2x+81=49\Leftrightarrow2x=-32\Leftrightarrow x=-16\)
c)\(12x-33=3^2\Leftrightarrow12x-33=9\Leftrightarrow12x=42\Leftrightarrow x=\frac{7}{2}\)
a) 4 x 25 - X : 8 = 91
100 - X : 8 = 91
X : 8 = 100 - 91
X : 8 = 9
X = 9 x 8
X = 72 Vậy X = 72
b) ( 100 + 2 x 36 ) : ( 43 x X ) = 2
138 : ( 43 x X ) = 2
43 x X = 138 : 2
43 x X = 69
X = 69 : 43
X = 69/43 Vậy X = 69/43
Chúc bạn zui~^^
a) 8x+2x = 25.22
8x+2x = 25. 4
8x+2x = 100
( 8 + 2) . x = 100
10 . x =100
x =100 :10
x =10
a)x. ( 8+2) = 25.4
X.10 =100
x=100/10
x=10
b) x.( 7-2) = 62 +4
x.5=36+4
x.5=40
x=40/5
x=8
c) x. (6+1) = 52+3
x.7=25+3
x.7=28
x=28/7
x=4