K
Khách

Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.

28 tháng 11 2019

Bài 2:

1) \(\frac{x}{12}-\frac{5}{6}=\frac{1}{12}\)

\(\Rightarrow\frac{x}{12}=\frac{1}{12}+\frac{5}{6}\)

\(\Rightarrow\frac{x}{12}=\frac{11}{12}\)

\(\Rightarrow x.12=11.12\)

\(\Rightarrow x.12=132\)

\(\Rightarrow x=132:12\)

\(\Rightarrow x=11\)

Vậy \(x=11.\)

2) \(\frac{2}{3}-1\frac{4}{15}x=\frac{-3}{5}\)

\(\Rightarrow\frac{2}{3}-\frac{19}{15}x=\frac{-3}{5}\)

\(\Rightarrow\frac{19}{15}x=\frac{2}{3}+\frac{3}{5}\)

\(\Rightarrow\frac{19}{15}x=\frac{19}{15}\)

\(\Rightarrow x=\frac{19}{15}:\frac{19}{15}\)

\(\Rightarrow x=1\)

Vậy \(x=1.\)

3) \(\left(-2\right)^3+0,5x=1,5\)

\(\Rightarrow-8+0,5x=1,5\)

\(\Rightarrow0,5x=1,5+8\)

\(\Rightarrow0,5x=9,5\)

\(\Rightarrow x=9,5:0,5\)

\(\Rightarrow x=19\)

Vậy \(x=19.\)

Chúc bạn học tốt!

21 tháng 7 2019

\(5^{x+4}-3.5^{x+3}=2.5^{11}\)

\(5^{x+3}\left(5-3\right)=2.5^{11}\)

\(5^{x+3}.2=2.5^{11}\)

\(5^{x+3}=5^{11}\)

\(x+3=11\)

\(x=8\)

\(4^{x+3}-3.4^{x+1}=13.4^{11}\)

\(4^{x+1}\left(4^2-3\right)=13.4^{11}\)

\(4^{x+1}.13=13.4^{11}\)

\(4^{x+1}=4^{11}\)

\(x+1=11\)

\(x=10\)

2 tháng 8 2016

a)\(\frac{1}{4}-\frac{1}{3}x=\frac{2}{5}-\frac{3}{2}x\)

\(\Leftrightarrow\)\(\frac{15-20x}{60}=\frac{24-90x}{60}\)

\(\Leftrightarrow15-20x=24-90x\)

\(\Leftrightarrow-20x+90x=24-15\)

\(\Leftrightarrow70x=9\)

\(\Leftrightarrow x=\frac{9}{70}\)

 

c) (1/2-1/6)*3^x+4-4*3^x=3^16-4*3^13

=1/3*3^x*3^4-4*3^x=3^13*3^3-4*3^13

=27*3^x-4*3^x=3^13*(27-4)

=3^x*(27-4)=3^13*(27-4)

=>x=13

26 tháng 10 2019

A = \(\frac{\frac{3}{4}-\frac{3}{11}+\frac{3}{13}}{\frac{5}{4}-\frac{5}{11}+\frac{5}{13}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{4}-\frac{5}{6}+\frac{5}{8}}\)

\(=\frac{3.\left(\frac{1}{4}-\frac{1}{11}+\frac{1}{13}\right)}{5.\left(\frac{1}{4}-\frac{1}{11}+\frac{1}{13}\right)}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{2}.\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}\right)}\)

\(=\frac{3}{5}+\frac{1}{\frac{5}{2}}\)

\(=\frac{3}{5}+\frac{2}{5}=1\)

26 tháng 10 2019

b) B = \(\frac{2^{12}.3^5-4^6.9^2}{\left(2^2.3\right)^6.8^4.3^5}-\frac{5^{10}.7^3:25^5.49}{\left(125.7\right)^3+5^9.14^3}\)

\(=\frac{2^{12}.3^5-\left(2^2\right)^6.\left(3^2\right)^2}{2^{12}.3^6+\left(2^3\right)^4.3^5}-\frac{5^{10}.7^3-\left(5^2\right)^5.7^2}{\left(5^3\right)^3.7^3+5^9.\left(7.2\right)^3}\)

\(=\frac{2^{12}.3^5-2^{12}.3^4}{2^{12}.3^6+2^{12}.3^5}-\frac{5^{10}.7^3-5^{10}-7^2}{5^9.7^3+5^9.7^3.2^3}\)

\(=\frac{2^{12}.3^4.\left(3-1\right)}{2^{12}.3^5\left(3+1\right)}-\frac{5^{10}.7^2.\left(7-1\right)}{5^9.7^3\left(1+2^3\right)}\)

 \(=\frac{1}{3.2}-\frac{5.2}{7.3}\)

\(=\frac{7}{3.2.7}-\frac{5.2.2}{7.3.2}\)

\(=\frac{7}{42}-\frac{20}{42}\)

\(=-\frac{13}{42}\)

22 tháng 10 2018

\(\left(3x+1\right)^2=25\)

\(\Rightarrow\left(3x+1\right)^2=5^2=\left(-5\right)^2\)

\(\Rightarrow\orbr{\begin{cases}3x+1=5\\3x+1=-5\end{cases}\Rightarrow\orbr{\begin{cases}3x=5-1=4\\3x=-5-1=-6\end{cases}}}\Rightarrow\orbr{\begin{cases}x=\frac{4}{3}\\x=-2\end{cases}}\)

\(\left[x-\frac{1}{2}\right]+\frac{1}{2}=\frac{5}{8}\)

\(\Rightarrow x-0=\frac{5}{8}\)

\(x=\frac{5}{8}\)

\(\left[x+\frac{3}{4}\right]-\frac{1}{3}=0\)

\(x+\frac{3}{4}=0+\frac{1}{3}=\frac{1}{3}\)

\(x=\frac{1}{3}-\frac{3}{4}\)

\(x=\frac{-5}{12}\)

22 tháng 10 2018

\(\frac{1}{9}.3^4.3x=3^7\)

\(\Rightarrow\frac{1}{9}.3^5x=3^7\)

\(x=3^7:\frac{1}{9}:3^5\)

\(x=3^2.9\)

\(x=81\)

\(\frac{x}{5}=\frac{4}{21}\)

\(\Rightarrow21x=4.5\)

\(\Rightarrow x=\frac{4.5}{21}\)

\(x=\frac{20}{21}\)