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5(x-2)-125=15
=>\(5\left(x-2\right)=15+125=140\)
=>x-2=28
=>x=28+2=30
Câu trả lời:
5. (𝑥 − 2) − 125 = 15
5. ( x - 2) = 125 - 15
5. ( x - 2) = 110
x - 2 = 110 : 5
x - 2 = 22
x = 22 - 2
x = 20
b: \(47x+52x+x=4.75\)
\(\Leftrightarrow100x=300\)
hay x=3
a) \(2^n=8\)
\(\Rightarrow2^n=2^3\)
\(\Rightarrow n=3\)
b) \(5^{n+1}=125\)
\(\Rightarrow5^{n+1}=5^3\)
\(\Rightarrow n+1=3\)
\(\Rightarrow n=3-1=2\)
c) Mình không rõ đề:
d) \(2\cdot7^{n-1}+3=101\)
\(\Rightarrow2\cdot7^{n-1}=101-3\)
\(\Rightarrow2\cdot7^{n-1}=98\)
\(\Rightarrow7^{n-1}=\dfrac{98}{2}\)
\(\Rightarrow7^{n-1}=49\)
\(\Rightarrow7^{n-1}=7^2\)
\(\Rightarrow n-1=2\)
\(\Rightarrow n=1+2=3\)
e) \(3\cdot5^{2n+1}-6^2=339\)
\(\Rightarrow3\cdot5^{2n+1}=339+36\)
\(\Rightarrow3\cdot5^{2n+1}=375\)
\(\Rightarrow5^{2n+1}=125\)
\(\Rightarrow5^{2n+1}=5^3\)
\(\Rightarrow2n+1=3\)
\(\Rightarrow2n=2\)
\(\Rightarrow n=\dfrac{2}{2}=1\)
Lời giải:
$=-3.125+3.438+125.2-438.3$
$=(3.438-438.3)+(125.2-125.3)$
$=0+125(2-3)=0+125(-1)=0-125=-125$
(-3*2*3)+(125+125)+(438-438)
(-3*2*3)+250
-18+250=232
mong bn đánh giá kq của mik
\(5^{2x-1}=125\cdot5^4\)
\(\Leftrightarrow2x-1=7\)
hay x=4
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)
12 : {390 : [500 - (125 + 35 . 7)]}
= 12 : {390 : [500 - (125 + 245)]}
= 12 : [390 : (500 - 370)]
= 12 : (390 : 130)
= 12 : 3
= 4
12 : { 390 : [ 500 - ( 125 + 35. 7 ) ] }
= 12 : { 390 : [ 500 - ( 125 + 245 ) ] }
= 12 : { 390 : [ 500 - 370 ] }
= 12 : { 390 : 130 }
= 12 : 3
= 4
\(5.5^{2x+2}=125\)
\(=>5^{2x+2}=125:5\)
\(=>5^{2x+2}=25=5^2\)
\(=>2x+2=2\)
\(=>2x=2-2\)
\(=>2x=0\)
\(=>x=0:2\)
\(=>x=0\)
5 . 52x + 2 = 125
52x + 2 = 125 : 5
52x + 2 = 25
52x + 2 = 52 (cùng cơ số)
⇒ 2x + 2 = 2 hoặc 2x + 2 = -2
2x = 2 - 2 2x = -2 - 2
2x = 0 2x = -4
x = 0 x = -4 : 2
x = -2
Vậy x = 0 hoặc -2.