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3 tháng 10

$9 . 2^{3x-1} = 36$

$\Rightarrow 2^{3x-1} = 36 : 9$

$\Rightarrow 2^{3x-1} = 4$

$\Rightarrow 2^{3x-1} = 2^{2}$

$\Rightarrow 3x - 1 = 2$

$ 3x = 2 + 1$

$ 3x = 3$

$ x = 3 : 3$

$ x = 1$

Vậy `x = 1`

\(3^{x-4}-17=2^6\)

\(\Rightarrow3^{x-4}-17=64\)

\(\Rightarrow3^{x-4}=64+17\)

\(\Rightarrow3^{x-4}=81\)

\(\Rightarrow3^{x-4}=3^4\)

$\Rightarrow x - 4 = 4$

$ x = 4 + 4$

$ x = 8$

Vậy `x = 8`

 

3 tháng 10

 x = 1

 x = 8

16 tháng 3 2020

a) \(-x-14+32=-26\)

\(-x=-26-32+14\)

\(-x=-44\)

\(x=44\)

b) \(-152-\left(3x+1\right)=\left(-2\right)\left(-27\right)\)

\(-152-3x-1=54\)

\(-3x=96\)

\(x=-32\)

c) \(x+x+x+82=-2-x\)

\(3x+82=2+x\)

\(2x=-80\)

\(x=-40\)

d) \(\left(-1\right)\left(-3\right)\left(-6\right)x=36\)

\(-18x=36\)

\(x=-2\)

1)

\(-x-14+32=-26\)

\(\Rightarrow-x+18=-26\)

\(\Rightarrow-x=-26-18\)

\(\Rightarrow-x=-44\)

\(\Rightarrow x=44\)

Vậy \(x=44\)

2)

\(-152-\left(3x+1\right)=\left(-2\right)\left(-27\right)\)

\(\Rightarrow-152-3x-1=54\)

\(\Rightarrow-153-3x=54\)

\(\Rightarrow-3x=54+163\)

\(\Rightarrow-3x=207\)

\(\Rightarrow x=207:\left(-3\right)\)

\(\Rightarrow x=-69\)

Vậy \(x=-69\)

3)

\(x+x+x+82=-2-x\)

\(\Rightarrow3x+82=-2-x\)

\(\Rightarrow3x+x=-2-82\)

\(\Rightarrow4x=-84\)

\(\Rightarrow x=-21\)

Vậy \(x=-21\)

4)

\(\left(-1\right)\left(-3\right)\left(-6\right).x=36\)

\(\Rightarrow-18x=36\)

\(\Rightarrow x=-2\)

Vậy \(x=-2\)

10 tháng 9 2020

2n:64=26

2n=26.64

2n=1664

n=1664:2

n=832

vậy x=832

10 tháng 9 2020

Ta có: \(\frac{2n}{64}=26\)

           \(\frac{n}{32}=26\)

           \(n=26.32\)

           \(n=832\)

6 tháng 9 2020

\(2^n-64=26\Rightarrow2^n=90\Rightarrow n=log_290\notinℕ\)Đề lag r

sai đề

25 tháng 3 2018

a)(-6-18):(-4)

= { (-6) + (-8) } : (-4)

=(-24) : (-4)= (-6)

b)-28.(50-42)-35.(34-62)

= -28.8-35.(-28) 

= -28.(8-35)

= -28.(-27)=756

c)-18-(-5)+26

= -18+5+26

= -13+26=13

d)-72.69+31.(-72)

= -72.(69+31)

= -72.100=-7200

27 tháng 3 2022

`Answer:`

a. \(\frac{17}{2}-\left|2x-\frac{3}{4}\right|=-\frac{7}{4}\)

\(\Leftrightarrow\left|2x-\frac{3}{4}\right|=\frac{17}{2}+\frac{7}{4}\)

\(\Leftrightarrow\left|2x-\frac{3}{4}\right|=\frac{41}{4}\)

\(\Leftrightarrow\orbr{\begin{cases}2x-\frac{3}{4}=\frac{41}{4}\\2x-\frac{3}{4}=-\frac{41}{4}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}2x=\frac{41}{4}+\frac{3}{4}\\2x=-\frac{41}{4}+\frac{3}{4}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}2x=11\\2x=-\frac{19}{2}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=11:2\\x=-\frac{19}{2}:2\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{11}{2}\\x=-\frac{19}{4}\end{cases}}\)

b. \(\left(x+\frac{1}{5}\right)^2+\frac{17}{25}=\frac{26}{25}\)

\(\Leftrightarrow\left(x+\frac{1}{5}\right)^2=\frac{26}{25}-\frac{17}{25}\)

\(\Leftrightarrow\left(x+\frac{1}{5}\right)^2=\frac{9}{25}\)

\(\Leftrightarrow\left(x+\frac{1}{5}\right)=\left(\frac{3}{5}\right)^2\)

\(\Leftrightarrow\orbr{\begin{cases}x+\frac{1}{5}=\frac{3}{5}\\x+\frac{1}{5}=-\frac{3}{5}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{3}{5}-\frac{1}{5}\\x=-\frac{3}{5}-\frac{1}{5}\end{cases}}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{2}{5}\\x=-\frac{4}{5}\end{cases}}\)

c. \(-1\frac{5}{27}-\left(3x-\frac{7}{9}\right)^3=-\frac{24}{27}\)

\(\Leftrightarrow-\frac{32}{27}-\left(3x-\frac{7}{9}\right)^3=-\frac{24}{27}\)

\(\Leftrightarrow\left(3x-\frac{7}{9}\right)^3=-\frac{32}{27}-\left(-\frac{24}{27}\right)\)

\(\Leftrightarrow\left(3x-\frac{7}{9}\right)^3=-\frac{8}{27}\)

\(\Leftrightarrow\left(3x-\frac{7}{9}\right)^3=\left(-\frac{2}{3}\right)^3\)

\(\Leftrightarrow3x-\frac{7}{9}=-\frac{2}{3}\)

\(\Leftrightarrow3x=-\frac{2}{3}+\frac{7}{9}\)

\(\Leftrightarrow3x=\frac{1}{9}\)

\(\Leftrightarrow x=\frac{1}{9}:3\)

\(\Leftrightarrow x=\frac{1}{27}\)

Bài 1:

x/-3=9/4

nên x=-9/4*3=-27/4

2x+y=-4

=>y=-4-2x=-4-2*(-27/4)=-4+27/2=27/2-8/2=19/2