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a) 15-(49-4x)=3x-27
<=> 15-49+4x=3x-27
<=> -34+4x-3x=-27
<=> x=-27+34=7
Vậy x=7
b) 70-(x-37)-(-61)=14-2x
<=> 70-x+34+61=14-2x
<=> 120-x+2x=14
<=> x=120-14=106
Vậy x=106
a, 4x -15=-75-x b,72-3x= 5x+8
4x+x=-75+15 -3x-5x=8-72
5x=-60 -8x=-64
x=-60:5 8x=64
x=-14 x=64:8
x=8
c,3Ix-7I=21 d,-7Ix+3I=-49
Ix-7I=21:3 Ix+3I=-49:-7
Ix-7I=7 Ix+3I=7
x-7=7 hoặc x-7=-7 x+3=7 hoặc x+3=-7
x=14 hoặc x=0 x=4 hoặc x=-10
Mình làm 5 câu thôi nhé !:
1) \(7^x\cdot49=7^{90}\)
\(\Rightarrow7^x\cdot7^2=7^{90}\)
\(\Rightarrow7^{x+2}=7^{90}\)
\(\Rightarrow x=90-2\)
\(\Rightarrow x=88\)
2) \(2^x\cdot4=128\)
\(\Rightarrow2^x\cdot2^2=2^7\)
\(\Rightarrow2^{x+2}=2^7\)
\(\Rightarrow x=7-2\)
\(\Rightarrow x=5\)
3) \(3^x-1=2^4\cdot5\)
\(\Rightarrow3^x=80+1\)
\(\Rightarrow3^x=81\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
4) \(3^x+15=42\)
\(\Rightarrow3^x=42-15\)
\(\Rightarrow3^x=27\)
\(\Rightarrow3^x=3^3\)
\(\Rightarrow x=3\)
5) \(4\cdot2^x-3=125\)
\(\Rightarrow2^2\cdot2^x=128\)
\(\Rightarrow2^{x+2}=2^7\)
\(\Rightarrow x=7-2\)
\(\Rightarrow x=5\)
6)
\(5^x=5^{15}:5^3\\ \Leftrightarrow5^x=5^{15-3}\\ \Leftrightarrow5^x=5^{12}\\ \Leftrightarrow x=12\)
7)
\(4^x=4^{15}:16\\ \Leftrightarrow4^x=4^{15}:4^2\\ \Leftrightarrow4^x=4^{15-2}\\ 4^x=4^{13}\\ \Leftrightarrow x=13\)
8)
\(7^x=7^{20}:7^{10}\\ \Leftrightarrow7^x=7^{20-10}\\ \Leftrightarrow7^x=7^{10}\\ \Leftrightarrow x=10\)
9)
\(11^x=11^{11}:11\\ \Leftrightarrow11^x=11^{11-1}\\ \Leftrightarrow11^x=11^{10}\\ \Leftrightarrow x=10\)
10)
\(3^{15}.3^x=3^{30}\\ \Leftrightarrow3^x=3^{30}:3^{15}\\ 3^x=3^{30-15}\\ \Leftrightarrow3^x=3^{15}\\ \Leftrightarrow x=15\)
a) \(3x-15=-25-x\)
\(3x+x=-25+15\)
\(4x=-10\)
\(x=\frac{-5}{2}\)
b) \(49-3x=4x+14\)
\(49-14=4x+3x\)
\(35=7x\)
\(x=5\)
a, \(3x-15=-25-x\Leftrightarrow3x-15+25+x=0\Leftrightarrow4x+10=0\)
\(\Leftrightarrow4x=-10\Leftrightarrow x=-\frac{5}{2}\)
b, \(49-3x=4x+14\Leftrightarrow49-3x-4x-14=0\Leftrightarrow35-7x=0\)
\(\Leftrightarrow7x=35\Leftrightarrow x=5\)
a: x=5:(-1/2)=-10
b: x=8/3+1/9=25/9
c: =>x+5/6=11/21
=>x=-13/42
d: =>7/4x-5=-10/3
=>7/4x=5/3
=>x=20/21
e: =>10/3-3/4:x=-1/6
=>3/4:x=10/3+1/6=21/6=7/2
=>x=3/4:7/2=3/4*2/7=6/28=3/14
g: =>3/(x+5)=3/20
=>x+5=20
=>x=15
h: =>1-1/2+1/2-1/3+...+1/x-1/x+1=49/50
=>1-1/x+1=49/50
=>x+1=50
=>x=49
\(\left(\frac{3}{4}x-2\right)^2=\frac{25}{49}\)
\(\Leftrightarrow\left(\frac{3}{4}x-2\right)^2=\left(\pm\frac{5}{7}\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{3}{4}x-2=\frac{5}{7}\\\frac{3}{4}x-2=\frac{-5}{7}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}\frac{3}{4}x=\frac{19}{7}\\\frac{3}{4}x=\frac{9}{7}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{76}{21}\\x=\frac{12}{7}\end{cases}}\)
\(\left(\frac{3}{4}x-2\right)^2=\frac{25}{49}\)
\(\Rightarrow\left(\frac{3}{4}x-2\right)^2=\frac{5^2}{7^2}\)
\(\frac{3}{4}x-2=\frac{5}{7}\)
\(\frac{3}{4}x=\frac{5}{7}+2\)
\(\frac{3}{4}x=\frac{19}{7}\)
\(x=\frac{19}{7}:\frac{3}{4}\)
\(x=\frac{76}{21}\)
Vậy \(x=\frac{76}{21}\)
4x+2-15=49
4x+2 =49+15
4x+2 =64
4x+2 =43
4x =43-2
4x =41
⇒x =1
\(4^{x+2}=49+15\\ 4^{x+2}=64\\ 4^{x+2}=4^3\\ 4^x=4^{3-2}\\ 4^x=4^1\\ \Rightarrow x=1\)