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6x+1-6x=180
6x.6-6x=180
6x(6-1)=180
6x.5=180
6x=180:5
6x=36=62
suy ra x=2
6x+1 - 6x = 180
<=> 6x ( 6 - 1 ) = 180
<=> 6x . 5 = 180
<=> 6x = 36
<=> 6x = 62
=> x = 2
a) (247 x 514 x 213 x 913 x 517 x 917 ) : (230 x 230 x 530 x 930)
(260 x 531 x 930) : (260 x 530 x 930) = 5
\(9^2-\left(3x+7\right)=6^2\cdot5\cdot14:180\)
\(81-\left(3x+7\right)=14\)
\(3x+7=81-14\)
\(3x+7=67\)
\(3x=67-7\)
\(3x=60\)
\(x=60:3\)
\(x=20\)
Vậy x = 20
a) kết quả =77
b) kết quả =78
c) kết quả =4
d) kết quả 1953
a/ 6^2 : 4.3+2.5^2
=36:4.3 + 2.25
=27+50
=77
b/ 5.4^2 - 18:3^2
=5.16 - 18:9
=80-2
=78
c/ 80 - (4.5^2-3.2^3)
=80-(4.25 - 3.8)
=80- (100-24)
=80-76
=4
d/ 23.75+25+23+180
=1725+25+23+180
=1953
1)\(79-5\left(11-x\right)=34\)
\(\Rightarrow79-55+5x=34\)
\(\Rightarrow24+5x=34\)
\(\Rightarrow5x=-10\)
\(\Rightarrow x=-2\)
Vậy \(x=-2\)
2)\(32+2\left(7-x\right)=40\)
\(\Rightarrow32+14-2x=40\)
\(\Rightarrow46-2x=40\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
3)\(\left(166-2x\right).8^9=2.8^{11}\)
\(\Rightarrow\left(83-x\right).2.8^9=2.8^{11}\)
\(\Rightarrow83-x=8^3\)
\(\Rightarrow83-x=512\)
\(\Rightarrow x=-429\)
Vậy \(x=-429\)
4)\(5^2.x-2^3.x=51\)
\(\Rightarrow x\left(5^2-2^3\right)=51\)
\(\Rightarrow x\left(25-8\right)=51\)
\(\Rightarrow17x=51\)
\(\Rightarrow x=3\)
Vậy \(x=3\)
5)\(3^x+4.3^x=5.3^7\)
\(\Rightarrow3^x\left(1+4\right)=5.3^7\)
\(\Rightarrow5.3^x=5.3^7\)
\(\Rightarrow3^x=3^7\)
\(\Rightarrow x=7\)
Vậy \(x=7\)
6)\(7.2^x-2^x=6.32\)
\(\Rightarrow2^x\left(7-1\right)=6.2^5\)
\(\Rightarrow6.2^x=6.2^5\)
\(\Rightarrow2^x=2^5\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
7)\(15^{3-x}=225\)
\(\Rightarrow15^{3-x}=15^2\)
\(\Rightarrow3-x=2\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
8)\(4.5^x-3=97\)
\(\Rightarrow4.5^x=100\)
\(\Rightarrow5^x=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)
Vậy \(x=2\)
9)\(171-3.2^x=123\)
\(\Rightarrow3.2^x=48\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
Vậy \(x=4\)
10)\(180-4.x^5=32\)
\(\Rightarrow4.x^5=148\)
\(\Rightarrow x^5=37\)//Đề có lỗi không ???
56 x 52 = 58
1012 x 102 = 1014
23 x 25 = 28
36 x 32 = 38
41 x 46 = 47
67 x 61 = 68
\(5^6\cdot5^2=5^{6+2}=5^8\)
\(10^{12}\cdot10^2=10^{12+2}=10^{14}\)
\(2^3\cdot2^5=2^{3+5}=2^8\)
\(3^6\cdot3^2=3^{6+3}=3^9\)
\(4^1\cdot4^6=4^{1+6}=4^7\)
\(6^7\cdot6^1=6^{1+7}=6^8\)
a) \(\frac{4^6.3^4.9^5}{6^{12}}=\frac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\frac{3^{14}}{3^{12}}=3^2=9\)
c) \(\frac{45^3.20^4.18^2}{180^5}=\frac{5.9^3.2^2.5^4.2^2.9^2}{2^{10}.5^5.9^5}=\frac{5.3^6.2^2.5^4.2^2.3^4}{2^{10}.5^5.3^{10}}=\frac{5^9.3^{10}.2^4}{2^{10}.5^5.3^{10}}=\frac{5^4}{2^6}\)
\(6^x-6^{x-1}=180\)
\(\Rightarrow6^x\cdot1-6^x\cdot6^{-1}=180\)
\(\Rightarrow6^x\cdot\left(1-\dfrac{1}{6}\right)=180\)
\(\Rightarrow6^x\cdot\dfrac{5}{6}=180\)
\(\Rightarrow6^x=180:\dfrac{5}{6}\)
\(\Rightarrow6^x=216\)
\(\Rightarrow6^x=6^3\)
\(\Rightarrow x=3\)
x không tồn tại