Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: \(\left(0,125\right)^{x+1}=64\)
\(\Rightarrow\left(0,125\right)^{x+1}=\left(0,125\right)^{-2}\)
\(\Rightarrow\) \(x+1=-2\)
\(\Rightarrow\)\(x=-3\)
Vậy x = -3
\(0,125^{x+1}=64\\ 0,125^{-2}=64\Leftrightarrow x-1=-2\Leftrightarrow x=-1\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a)
\(\begin{array}{l}x.\frac{{14}}{{27}} = \frac{{ - 7}}{9}\\x = \frac{{ - 7}}{9}:\frac{{14}}{{27}}\\x = \frac{{ - 7}}{9}.\frac{{27}}{{14}}\\x = \frac{{ - 3}}{2}\end{array}\)
Vậy \(x = \frac{{ - 3}}{2}\).
b)
\(\begin{array}{l}\left( {\frac{{ - 5}}{9}} \right):x = \frac{2}{3}\\x = \left( {\frac{{ - 5}}{9}} \right):\frac{2}{3}\\x = \left( {\frac{{ - 5}}{9}} \right).\frac{3}{2}\\x = \frac{{ - 5}}{6}\end{array}\)
Vậy \(x = \frac{{ - 5}}{6}\).
c)
\(\begin{array}{l}\frac{2}{5}:x = \frac{1}{{16}}:0,125\\\frac{2}{5}:x = \frac{1}{{16}}:\frac{1}{8}\\\frac{2}{5}:x = \frac{1}{{16}}.8\\\frac{2}{5}:x = \frac{1}{2}\\x = \frac{2}{5}:\frac{1}{2}\\x = \frac{2}{5}.2\\x = \frac{4}{5}\end{array}\)
Vậy \(x = \frac{4}{5}\)
d)
\(\begin{array}{l} - \frac{5}{{12}}x = \frac{2}{3} - \frac{1}{2}\\ - \frac{5}{{12}}x = \frac{4}{6} - \frac{3}{6}\\ - \frac{5}{{12}}x = \frac{1}{6}\\x = \frac{1}{6}:\left( { - \frac{5}{{12}}} \right)\\x = \frac{1}{6}.\frac{{ - 12}}{5}\\x = \frac{{ - 2}}{5}\end{array}\)
Vậy \(x = \frac{{ - 2}}{5}\).
Chú ý: Khi trình bày lời giải bài tìm x, sau khi tính xong, ta phải kết luận.
![](https://rs.olm.vn/images/avt/0.png?1311)
2 x 4,8 x 0,5 + 4 x 16 x 0,25 + 20 : 10 x 0,5
=(2 x0,5) x4,8 +(4 x0,25) x16 +2 x0,5
=1 x4,8+16+1
=4,8+16+1
=21,8
12,5 x3,14 x8 +16 x0,125 x1,57
=(12,5 x8 )x3,14 +8 x2x0,125x1,57
=100 x3,14 +(8 x0,125) x2 x1,57
=314 + 2x1,57
=314 +3,14
=317,14
tick nhiệt tình nha nhanh nhất nè
![](https://rs.olm.vn/images/avt/0.png?1311)
a)16. x2 = 64
x2 = 64 : 16
x2 = 4
x2 = 22
⇒ x = 2
b) (5.x - 2) - 64 = -36
(5.x - 2) = -36 + 64
5.x - 2 = 28
5.x = 28 + 2
5.x = 30
x = 30 : 5
x = 6
c) (2x - 10).(5 - x) = 0
TH1: 2x - 10 = 0
2x = 0 + 10
2x = 10
x = 10 : 2
x = 5
TH2: 5 - x = 0
x = 5 - 0
x = 5
⇒ Vậy x = 5.
\(0,125^{x-2}\times16^{x-2}=64\)
\(0,125^{x-2}\times16^{x-2}=0,125^6\times16^6\)
\(\Rightarrow0,125^{x-2}=0,125^6\)
\(\Rightarrow x-2=6\)
\(\Rightarrow16^{x-2}=16^6\)
\(\Rightarrow x-2=6\)
\(x=6+2\)
\(x=8\)
Vậy \(x=8\)