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a) 3*2x =48 \(\Leftrightarrow\)2x=16 \(\Leftrightarrow\)x=4 b) (2x +1 )3 =53 \(\Leftrightarrow\)2x +1 =5 \(\Leftrightarrow\)2x =4 \(\Leftrightarrow\)x=2 c) 36+x=36 \(\Leftrightarrow\)x=0 d) 1+x-15=27-1 \(\Leftrightarrow\)x=40

a)\(x-\frac{1}{3}=\frac{2}{3}\)
\(\Leftrightarrow x=1\)
b)\(60\%x=90\)
\(\Leftrightarrow x=150\)
c)\(\frac{2}{3}x-\frac{1}{2}=-1\)
\(\Leftrightarrow\frac{2}{3}x=-0,5\)
\(\Leftrightarrow x=-0,75\)
d)\(2\left|x\right|=4-\left(-8\right)\)
\(\Leftrightarrow2\left|x\right|=12\)
\(\Leftrightarrow\left|x\right|=6\)
\(\Leftrightarrow\orbr{\begin{cases}x=6\\x=-6\end{cases}}\)
Bài 2 :
|-15+21|-|4-11|
=|6|-|-7|
=6-7
=-1
#H


Ta có:
\(\left(x-\frac{1}{2}\right)\div\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\right)=\frac{1}{3}\)
\(\Rightarrow\left(x-\frac{1}{2}\right)\div\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{9.10}\right)=\frac{1}{3}\)
\(\Rightarrow\left(x-\frac{1}{2}\right)\div\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\right)=\frac{1}{3}\)
\(\Rightarrow\left(x-\frac{1}{2}\right)\div\left(1-\frac{1}{10}\right)=\frac{1}{3}\)
\(\Rightarrow x-\frac{1}{2}=\frac{1}{3}\times\frac{9}{10}\)
\(\Rightarrow x-\frac{1}{2}=\frac{3}{10}\Rightarrow x=\frac{3}{10}+\frac{1}{2}=\frac{4}{5}\)
Vậy giá trị của x là \(\frac{4}{5}\)

\(3^{x+2}+3^x=90\Leftrightarrow3^x.3^2+3^x=90\Leftrightarrow3^x\left(3^2+1\right)=90\Leftrightarrow3^x.10=90\Leftrightarrow3^x=9\Leftrightarrow3^x=3^2\Leftrightarrow x=2\)
Vậy ...
\(\left(x+\dfrac{1}{2}\right)^2-\dfrac{1}{3}=\dfrac{1}{9}\Leftrightarrow\left(x+\dfrac{1}{2}\right)^2=\dfrac{4}{9}\Leftrightarrow\left(x+\dfrac{1}{2}\right)^2=\left(\dfrac{2}{3}\right)^2\Leftrightarrow x+\dfrac{1}{2}=\dfrac{2}{3}\Leftrightarrow x=\dfrac{1}{6}\)
Vậy ...
1.
a) \(3^{x+2}+3^x=90\)
\(\Leftrightarrow3^x\left(3^2+1\right)=90\)
\(\Leftrightarrow3^x.10=90\)
\(\Leftrightarrow3^x=9=3^2\)
\(\Leftrightarrow x=2\)
vậy...
b) \(\left(x+\dfrac{1}{2}\right)^2-\dfrac{1}{3}=\dfrac{1}{9}\)
\(\Leftrightarrow\left(x+\dfrac{1}{2}\right)^2=\dfrac{4}{9}\)
\(\Leftrightarrow\left(x+\dfrac{1}{2}\right)^2=\left(\pm\dfrac{2}{3}\right)^2\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{2}=\dfrac{2}{3}\\x+\dfrac{1}{2}=-\dfrac{2}{3}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{6}\\x=\dfrac{-7}{6}\end{matrix}\right.\)
Vậy...
tik mik nha !!!

Ta có A = 2 + 22 + 23 + 24 + 25 + 26 + ... + 288 + 289 + 290
= (2 + 22 + 23) + (24 + 25 + 26) + ... + (288 + 289 + 290)
= (2 + 22 + 23) + 23(2 + 22 + 23) + ... + 287(2 + 22 + 23)
= (2 + 22 + 23)(1 + 23 + ... + 287)
= 14.(1 + 23 + ... + 287)
= 2.7.(1 + 23 + ... + 287) \(⋮\)7
=> A \(⋮\)7 (ĐPCM)
A = 2 + 22 + 23 + 24 + ... + 290
= ( 2 + 22 + 23 ) + ( 24 + 25 + 26 ) + ... + ( 288 + 289 + 290 )
= 2( 1 + 2 + 22 ) + 24( 1 + 2 + 22 ) + ... + 288( 1 + 2 + 22 )
= 2.7 + 24.7 + ... + 288.7
= 7( 2 + 24 + ... + 288 ) chia hết cho 7 ( đpcm )

2a)để (180 + 2a5) ⋮ 3
=> 2a5 ⋮ 3(vì 180 ⋮ 3)
ta có: (2+a+5)⋮3
=>(7+a)⋮3
=>a ∈ {2;5;8}