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

1. Tim x
a. ( \(\frac{8}{27}\))x = ( \(\frac{2}{3}\))72
b. \(\frac{1}{3}\) . 3x = 7 . 32 . 92 - 2 . 3x

a. \(\left(\frac{8}{27}\right)^x=\left(\frac{2}{3}\right)^{72}\)
\(\left(\frac{2}{3}\right)^{3x}=\left(\frac{2}{3}\right)^{72}\)
\(\Rightarrow3x=72\Rightarrow x=24\)
Vậy x = 24

\(B=3+3^2+3^3+.....+3^{2006}\)
\(\Rightarrow3B=3^2+3^3+....+3^{2007}\)
\(\Rightarrow2B=3^{2007}-3\)
\(\Rightarrow B=\frac{3^{2007}-3}{2}\)
\(2B+3=3^x\)
\(\Rightarrow2.\frac{3^{2007}-3}{2}+3=3^x\)
\(\Rightarrow3^{2007}-3+3=3^x\Rightarrow3^{2007}=3^x\Rightarrow x=2007\)

Trl :
\(\frac{1}{9}.27^n=3^{n+2}\)
\(3^{-2}.\left(3^3\right)^n=3^{n+2}\)
\(3^{-2}.3^{3n}=3^{n+2}\)
\(\Rightarrow-2+3n=n+2\)
\(\Rightarrow3n=n+4\)
\(\Rightarrow2n=4\)\(\Rightarrow n=2\)
Hok tốt
Trl :
\(\frac{1}{9}3^4.3^n=3^7\)
\(3^{-2}.3^4.3^n=3^7\)
\(\Rightarrow-2+4+n=7\)
\(\Rightarrow2+n=7\)
\(\Rightarrow n=7-2\)
\(\Rightarrow n=5\)
Hok tốt !


\(=-2.\frac{2}{3}.\frac{1}{3}:\left(\frac{-1}{6}+0,5\right)-\left(-2009^0\right)-\left(-2\right)^2\)
\(=\frac{4}{3}.\frac{1}{3}:\left(\frac{-1}{6}+\frac{1}{2}\right)-1.4\)
\(=\frac{4}{3}.\frac{1}{3}+4\)
\(=4+4\)
\(=8\)

Khi nhân với phân số 1/9 . 27x sẽ giảm xuống 9 lần còn 3x
Vậy ta biết được 27x:9=3x
Đổi 9 bằng 32 vậy ta có biểu thức tìm x
27x=32+3x
33 =32+3x
3 = x+2
3-2 = x
1 = x

<=> \(\frac{1}{9}\). (9.3)x =3x
<=> \(\frac{1}{9}\). 9x.3x = 3x
<=> \(\frac{1}{9}\). 9x = 1
<=> 9x = 9 <=> x = 1