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a: \(\Leftrightarrow4^x\left(\dfrac{3}{2}+\dfrac{5}{3}\cdot4^2\right)=4^8\left(\dfrac{3}{2}+\dfrac{5}{3}\cdot4^2\right)\)
=>4^x=4^8
=>x=8
b: \(\Leftrightarrow2^x\cdot\dfrac{1}{2}+2^x\cdot2=2^{10}\left(2^2+1\right)\)
=>2^x=2^11
=>x=11
c: =>1/6*6^x+6^x*36=6^15(1+6^3)
=>6^x=6*6^15
=>x=16
d: \(\Leftrightarrow8^x\left(\dfrac{5}{3}\cdot8^2-\dfrac{3}{5}\right)=8^9\left(\dfrac{5}{3}\cdot8^2-\dfrac{3}{5}\right)\)
=>x=9

a) 3x = 3-12. 3-15 . 332 =35
x = 5
b) 2x = 29 .2-30. 29 = 2-12
x = -12
c) 2x = 214 / 29 = 25
x = 5

a: |x-1/2|=7/2
=>x-1/2=7/2 hoặc x-1/2=-7/2
=>x=4 hoặc x=-3
b: \(x:\dfrac{3}{8}+\dfrac{5}{8}=x\)
=>8/3x-x=-5/8
=>5/3x=-5/8
hay x=-5/8:5/3=-5/8x3/5=-15/40=-3/8
c: \(\dfrac{5}{6}-\left|x-\dfrac{1}{2}\right|=\dfrac{15}{18}=\dfrac{5}{6}\)
=>|x-1/2|=0
=>x-1/2=0
hay x=1/2
e: \(\left(5x-3\right)^2-\dfrac{1}{64}=0\)
=>(5x-3)2=1/64
=>5x-3=1/8 hoặc 5x-3=-1/8
=>5x=25/8 hoặc 5x=23/8
=>x=5/8 hoặc x=23/40

1) MK không chép lại đề nữa nhé!
3x = (32 ) -6 . (33 ) -5 . (34)8
3 x = 3-12.3-15 . 332
3x= 3-27.332
3x= 35
=>x= 5
Vậy x=5

a) \(\frac{5}{6}\)x - \(\frac{3}{8}\)x - 10 = 12
=> \(\left(\frac{5}{6}-\frac{3}{8}\right)\)x = 12 + 10
=> \(\frac{11}{24}\)x = 22
=> x = 22 : \(\frac{11}{24}\)
=> x = 48
Vậy x = 48.
b) (\(\left|x\right|\) - \(\frac{1}{8}\)) . \(\left(-\frac{1}{8}\right)^5\) = \(\left(-\frac{1}{8}\right)^7\)
=> \(\left|x\right|\) - \(\frac{1}{8}\) = \(\left(-\frac{1}{8}\right)^7\) : \(\left(-\frac{1}{8}\right)^5\)
=> \(\left|x\right|\) - \(\frac{1}{8}\) = \(\left(-\frac{1}{8}\right)^{7-5}\)
=> \(\left|x\right|\) - \(\frac{1}{8}\) = \(\frac{1}{64}\)
=> \(\left|x\right|\) = \(\frac{1}{64}\) + \(\frac{1}{8}\)
=> \(\left|x\right|\) = \(\frac{9}{64}\)
=> x = \(\frac{9}{64}\) hoặc x = \(\frac{-9}{64}\)
Vậy x = \(\frac{9}{64}\) hoặc x = \(\frac{-9}{64}\)
hên quá làm đúng hì hì, cảm ơn nhen, hết sợ bị sai ồi

Bài 1:
a) \(\left(2-3x\right)-\left(5x+8\right)=15x\)
\(\Leftrightarrow2-3x-5x-8-15x=0\)
\(\Leftrightarrow-23x-6=0\)
\(\Leftrightarrow x=\frac{-6}{23}\)
Vậy...
b) \(3\left(x-3\right)-2\left(8-x\right)=6\)
\(\Leftrightarrow3x-9-16+2x-6=0\)
\(\Leftrightarrow5x-31=0\)
\(\Leftrightarrow x=\frac{31}{5}\)
Vậy...
c) \(\frac{7-x}{2}-\frac{2x-3}{4}=\frac{x+2}{8}-\frac{-1}{2}\)
\(\Leftrightarrow4\left(7-x\right)-2\left(2x-3\right)=x+2+4\)
\(\Leftrightarrow28-4x-4x+6-x-6=0\)
\(\Leftrightarrow-9x+28=0\)
\(\Leftrightarrow x=\frac{28}{9}\)
Vậy...
d) \(x^2\cdot\left(-4x\right)+3=0\)
\(\Leftrightarrow-4x^3=-3\)
\(\Leftrightarrow x^3=\frac{3}{4}\)
\(\Leftrightarrow x=\sqrt[3]{\frac{3}{4}}\)
Vậy...
a) \(\left(2-3x\right)-\left(5x+8\right)=15x\)
\(\Leftrightarrow2-3x-5x-8=15x\)
\(\Leftrightarrow15x+3x+5x=2-8\)
\(\Leftrightarrow23x=-6\)
\(\Leftrightarrow x=-\frac{6}{23}\)
Vậy : \(x=-\frac{6}{23}\)
b) \(3\left(x-3\right)-2\left(8-x\right)=6\)
\(\Leftrightarrow3x-9-16+2x=6\)
\(\Leftrightarrow5x=6+9+16=41\)
\(\Leftrightarrow x=\frac{41}{5}\)
Vậy : \(x=\frac{41}{5}\)

\(4^x+4^{x+3}=2160\)
\(4^x\left(1+4^3\right)=2160\)
\(4^x\cdot65=2160\)
\(4^x=2160\text{ : }65\)
\(4^x=33,2307692\)
\(\Rightarrow\text{ Đề sai}\)

a) \(3^{7x-1}=815\)
\(\Leftrightarrow3^{7x}:3=815\)
\(\Leftrightarrow\left(3^7\right)^x:3=815\)
\(\Leftrightarrow2187^x=815.3\)
\(\Leftrightarrow2187^x=2445\)
\(\Rightarrow\) Không có x thoả mãn.
b) \(\left(-0,6\right)^5.x=\left(\dfrac{-3}{5}\right)^8\)
\(\Leftrightarrow x=\left(\dfrac{-3}{5}\right)^8:\left(-0,6\right)^5\)
\(\Leftrightarrow x=\left(-0,6\right)^8:\left(-0,6\right)^5\)
\(\Leftrightarrow x=\left(-0,6\right)^3\)
c) \(\left(0,5-x\right)^3=-8\)
\(\Leftrightarrow\left(0,5-x\right)^3=\left(-2\right)^3\)
\(\Rightarrow0,5-x=-2\)
\(\Leftrightarrow x=0,5+2\)
\(\Leftrightarrow x=2,5\).

Bài 1:
1. \(\left(\frac{1^5}{2}\right):\left(\frac{1^8}{2}\right)\)\(=\frac{1^5:1^8}{2:2}=\frac{1}{1}=1.\)
Mình chỉ làm bài 1 thôi nhé.
Chúc bạn học tốt!
\(\frac38-x\) = \(\frac{2}{-3}\)
\(x\) = \(\frac38\) + \(\frac23\)
\(x=\frac{9}{24}\) + \(\frac{16}{24}\)
\(x=\frac{25}{24}\)
Vậy \(\frac{25}{24}\)