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b) (5/2-3x)=25/9
3x = 5/2-25/9
3x =-5/18
x =-5/18:3
x=-5/54
\(e.\left(x-1\right)^5=-32\)
\(\left(x-1\right)^5=\left(-2\right)^5\)
\(x-1=-2\)
\(x\) \(=-2+1\)
\(x\) \(=-1\)
Vậy \(x=-1\)
a) 32.x+2=1342176728
32.x=134217728-2
32.x=134217726
x=134217726:32
x=4194303,938
\(\left(2x-3\right)^2=\frac{9}{4}=\left(\frac{-3}{2}\right)^2=\left(\frac{3}{2}\right)^2\)
\(\Leftrightarrow\orbr{\begin{cases}2x-3=\frac{-3}{2}\\2x-3=\frac{3}{2}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{4}\\x=\frac{9}{4}\end{cases}}\)
Vậy \(x=\frac{3}{4}\)hoặc \(x=\frac{9}{4}\)
a) \(3^{x+1}=9^x\)
\(\Rightarrow3^{x+1}=\left(3.3\right)^x\)
\(\Rightarrow3^{x+1}=3^{3x}\)
\(\Rightarrow x+1=3x\)
\(\Rightarrow3x-x=2x=1\)
\(\Rightarrow x=1\)
b) \(2^{3x+2}=4^{x+5}\)
\(2^{3x+2}=\left(2.2\right)^{x+5}\)
\(\Rightarrow2^{3x+2}=2^{2\left(x+5\right)}=2^{2x+10}\)
\(\Rightarrow3x+2=2x+10\Rightarrow3x+2=2x+2+8\)
\(\Rightarrow3x=2x+8\Rightarrow3x-2x=8\)
\(\Rightarrow1x=8\Rightarrow x=8\)
a)2x+3+2x=144
2x*23+2x=144
2x * (23+1)=144
2x * 9 =144
2x=144/9=16
2x=16 =>x=4
b) 7x+7x+1=392
7x + 7x * 7 =392
7x * (1+7)=392
7x * 8= 392
7x= 392/8=49
7x=49 => x=2
d) 3x+3x+3=2268
3x+ 3x * 33=2268
3x *(1+33)=2268
3x*28=2268
3x=2268/28
3x=81 =>x=4
e) 9x+2+9x-92*82=0
9x*92+9x-92 *82=0
9x*(92+1)-92*82=0
9x*82-92*82=0
82*(9x-92)=0
=>9x-92=0
9x=0+92=92
=>x=2
f)8x. 16-2x=45
23x. 24 . -2x=45
23x+ 4 . -2x =45
23x-8x=45
2-5x =210
=>-5x=10 =>x=-2
=(-8/27)x81+9/8x32. =(-72/3)+36. =36/3. =12