a: \(\Leftrightarrow2^x\cdot\dfrac{1}{2}+2^x\cdot2=2^{10}\left(2^2+1\right)\)
\(\Leftrightarrow2^x=2^{10}\cdot5:\dfrac{5}{2}=2^{10}\cdot5\cdot\dfrac{2}{5}=2^{11}\)
=>x=11
b: \(\Leftrightarrow3^x\cdot\dfrac{1}{3}+3^x\cdot9=3^{13}\cdot28\)
\(\Leftrightarrow3^x=3^{13}\cdot28:\dfrac{28}{3}=3^{14}\)
hay x=14
tìm x biết
a) \(\dfrac{2}{5}-\left(\dfrac{1}{10}-x\right)=\left(\dfrac{-2}{5}-\dfrac{1}{2}\right)^2\)
b) \(\dfrac{2}{5}-\dfrac{3}{5}\left(x-2\right)=\left(\dfrac{-1}{2}\right)^3-\left(\dfrac{3}{4}\right)^3.\left(-2\right)^2\)
x:[ \(\dfrac{8}{5}\) . (\(\dfrac{2}{3}\))\(^2\) - \(\dfrac{2}{5}\) ] = \(\dfrac{15}{7}+\dfrac{6}{5}\) [(2\(\dfrac{1}{7}\))\(^2\) - \(\dfrac{50}{49}\) ]
tìm x
giúp mk nhó
bài 1:
a) (\(-\dfrac{1}{2}\))3 + (\(\dfrac{5}{6}\))0 - (\(-\dfrac{3}{2}\))2-(-1)10
b) 4(\(-\dfrac{1}{3}\))0 - 2(\(-\dfrac{1}{2}\))2+3(\(-\dfrac{1}{2}\))+1
Bài 2:
a)(4x - 3)x=-125
1) a) (x-\(\dfrac{1}{2}\))^2=0
b) (x-2)^2=1
c)(2x-1)3=-8
d)(x+\(\dfrac{1}{2}\))^2=\(\dfrac{1}{16}\)
1 tính
a. \((\left|-5\right|7^4+3^2.2\dfrac{2}{5}):(7^5.125.7^3.50)\)
b. \((\dfrac{3^2}{9}.\dfrac{3^3}{81})^{12}:(\dfrac{3^6}{81^2})^{10}\)
c. \([(\dfrac{1}{2})^2.(\dfrac{1}{3})^4.\dfrac{2}{7}]:\left(\dfrac{1}{3}\right)^{-2}.\dfrac{-2^2}{7}\)
1: Tính : \(\dfrac{\left(\dfrac{2}{5}\right)^7.5^7+\left(\dfrac{9}{4}\right)^3:\left(\dfrac{3}{16}\right)^3}{2^7.5^2+512}\) 2 . Tìm x biết :\(\left(5.x+1\right)^2=\dfrac{36}{49}\)
a. \(\dfrac{81}{3^{2x+1}}=3\)
b.\(2^x+2^{x+2}=80\)
c.\(\dfrac{16^{x+2}}{8^x}=4^5\)
d. \(2^x+2^{x+1}+2^{x+2}=112\)
a) \(\dfrac{5^5}{5^x}=5^{18}\)
b) \(\dfrac{2^{4-x}}{16^5}=32^6\)
c) \(\dfrac{2^{2x-3}}{4^{10}}=8^3.16^5\)
d) \(\dfrac{2^3}{2^x}=4^5\)
e) \(9.5^x=6.5^6+3.5^6\)
f) \(7.2^x=2^9+5.2^8\)
bài 1: thực hiện phép tính
a)\(\dfrac{2^5.8^4.4^3}{16^6}\)
b) \(\left(\dfrac{3}{5}-\dfrac{3}{4}\right).\left(\dfrac{2}{6}-\dfrac{1}{5}\right)^2\)
c)\(3.[\dfrac{-2}{5}]-\left(\dfrac{-1}{2}\right).4:\left(\dfrac{-1}{2}\right)^2\)
