Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(8^{2x}.64^2=16^{x+4}\)
\(\left(2^3\right)^{2x}.\left(2^6\right)^2=\left(2^4\right)^{x+4}\)
\(2^{6x}.2^{12}=2^{4x+16}\)
\(2^{4x+16}:2^{6x}=2^{12}\)
\(2^{4x+16-6x}=2^{12}\)
\(2^{-2x+16}=2^{12}\)
\(\Rightarrow-2x+16=12\)
\(\Rightarrow2x=4\Rightarrow x=2\)
a) \(\left(x-6\right)^3=\left(x-6\right)^2\Leftrightarrow\orbr{\begin{cases}x-6=1\Leftrightarrow x=7\\x-6=0\Leftrightarrow x=6\end{cases}}\)
b) \(\left(7.x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=1000\)
\(\Leftrightarrow\left(7.x-11\right)^3=10^3\)
\(\Leftrightarrow7x-11=10\Leftrightarrow7x=21\Leftrightarrow x=3\)
c) \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\)
\(\Leftrightarrow3+2^{x-1}=24-\left[4^2-3\right]\)
\(\Leftrightarrow3+2^{x-1}=24-13\)
\(\Leftrightarrow3+2^{x-1}=11\)
\(\Leftrightarrow2^{x-1}=8\Leftrightarrow2^{x-1}=2^3\Leftrightarrow x-1=3\Leftrightarrow x=4\)
a)\(3^x.3=243\Leftrightarrow3^x=81\Leftrightarrow3^x=3^4\Leftrightarrow x=4\)
b) \(2^x.16^2=1024\Leftrightarrow2^x.256=1024\Leftrightarrow2^x=4\Leftrightarrow2^x=2^2\Leftrightarrow x=2\)
c) \(64:4^x=16^8\Leftrightarrow4^x=67108864\Leftrightarrow4^x=4^{13}\Leftrightarrow x=13\)
d) \(2^x=16\Leftrightarrow2^x=2^4\Leftrightarrow x=4\)
a)\(3^2.3^x=243\)
\(3^2.3^x=3^5\)
\(3^x=3^5:3^2\)
\(3^x=3^3\)
\(\Rightarrow x=3\)
b)\(2^x.16^2=1024\)
\(2^x.\left(2^4\right)^2=2^{10}\)
\(2^x.2^8=2^{10}\)
\(2^x=2^{10}:2^8\)
\(2^x=2^2\)
\(\Rightarrow x=2\)
Học tốt nha^^
3^2.3=243 vậy x=3
2^x.16^2=1024 vậy x=2
64.4^x=16^8 vậy x=13
2^x-26=6 vậy x=5
phần cuối đề sai
Tìm x\(\in\)n
a,x3-23=25-(316:314+28:216)
b,5x-2-32=24-(68:66-62)
c,(x2-1)4=81
d,3x+42=196:(193.192)-3.1
a/ 25x+1.1252=6254
<=> (52)x+1.(53)2=(54)4
<=> 52x+2.56 = 516
<=> 52x+2=510
=> 2x+2=10 => x=4
b/ 9x=273.35
<=> 32x=39.35=314
=> 2x=14 => x=7
c/ 16x.85=647
<=> (24)x.(23)5=(26)7
<=> 24x.215=242
<=> 24x=227
=> 4x=27 => x=27/4
82x.(82)2 = (42)x.(42)4