2^x+2^x+3=144 ai giúp mik với
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\(2^x+2^x\cdot2^3=144\)
\(2^x\cdot\left(8+1\right)=144\)
\(2^x\cdot9=144\)
\(2^x=144\div9\)
\(2^x=16\)
Vì 2 * 2 * 2 * 2 = 16 = 24 nên x = 4
A, (2x+1)3=343
=> (2x+1)3=73
=> 2x + 1 = 7
=> 2x = 6
=> x = 3
B, 2x+2x+3=144
=> 2x+2x . 23 =144
=> 2x ( 1 + 23 ) =144
=> 2x ( 1 + 8 ) =144
=> 2x . 9 =144
=> 2 x = 16
=> 2 x = 2 4
=> x = 4
C, 3x+3x+2=2430
=> 3x+3x . 32 =2430
=> 3x . ( 1 + 32 ) =2430
=> 3x . ( 1 + 9 ) =2430
=> 3x . 10 =2430
=> 3x = 243
=> 3x = 3 5
=> x = 5
2x+2x+3=144
2x+2x.23=144
2x.(23+1)=144
2x.9=144
2x=144:9
2x=16
2x=24
=>x=4
Vậy x=4
Bài làm
2x + 2x + 3 = 144
2x + 2x . 23 = 144
2x ( 1 + 23 ) = 144
2x . 9 = 144
2x = 16
2x = 24
=> x = 4
Vậy x = 4
# Học tốt #
\(4^{x+3}\times4^{x-1}=256\)
\(\Rightarrow4^{x+3+x-1}=256\)
\(\Rightarrow4^{2x+2}=256=4^4\)
\(\Rightarrow2x+2=4\)
\(\Rightarrow x=\left(4-2\right):2=1\)
\(2^{x+3}+2^x=144\)
\(\Rightarrow2^x.\left(2^3+1\right)=144\)
\(\Rightarrow2^x.9=144\)
\(\Rightarrow2^x=144:9=16=2^4\)
\(\Rightarrow x=4\)
(3x + 3)2 = 144
=> (3x + 3)2 = ( \(\pm\)12)2
=> \(\orbr{\begin{cases}3x+3=12\\3x+3=-12\end{cases}}\Rightarrow\orbr{\begin{cases}3x=9\\3x=-15\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-5\end{cases}}\)
Bài làm :
(3.x + 3)2 = 144
=> (3.x + 3) = \(\sqrt{144}\)
=> 3.x + 3 = 12
=> 3.x = 12 - 3
=> 3.x = 9
=> x = 9 : 3
=> x = 3
\(a,2^x+2^{x+3}=144\\ 2^x.\left(1+2^3\right)=144\\ 2^x.9=144\\ 2^x=144:9\\ 2^x=16=2^4\\ vậy:x=4\)
\(b,\left(x-5\right)^{2022}=\left(x-5\right)^{2021}\\ Vì:\left[{}\begin{matrix}0^{2022}=0^{2021}\\1^{2022}=1^{2021}\end{matrix}\right.\\ Vậy:\left[{}\begin{matrix}x-5=0\\x-5=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=6\end{matrix}\right.\)
\(\left(1+\dfrac{2}{3}\right).\left(1+\dfrac{2}{4}\right).\left(1+\dfrac{2}{5}\right)....\left(1+\dfrac{2}{2020}\right).\left(1+\dfrac{2}{2021}\right)\)
= \(\dfrac{5}{3}.\dfrac{6}{4}.\dfrac{7}{5}.\dfrac{8}{6}.\dfrac{9}{7}....\dfrac{2022}{2020}.\dfrac{2023}{2021}\)
= \(\dfrac{1}{3}.\dfrac{1}{4}.2022.2023\)
= \(\dfrac{337.2023}{2}\)
= \(\dfrac{\text{681751}}{2}\)
`Answer:`
`(2/3+x)-(-1/2)=3/5`
`<=>2/3+x=3/5-1/2`
`<=>2/3+x=\frac{1}{10}`
`<=>x=\frac{1}{10}-2/3`
`<=>x=\frac{-17}{30}`
`-3/4-(x-7/2)=1/2+(-2/3)`
`<=>-3/4-(x-7/2)=-1/6`
`<=>x-7/2=-3/4-(-1/6)`
`<=>x-7/2=-3/4+1/6`
`<=>x-7/2=-\frac{7}{12}`
`<=>x=\frac{-7}{12}+7/2`
`<=>x=\frac{35}{12}`
\(4^2.x+2^4.x+3=144\\ \Rightarrow16x+16x+3=144\\ \Rightarrow32x=144-3\\ \Rightarrow32x=141\\ \Rightarrow x=\dfrac{141}{32}\)
2x + 2x + 3 = 144
=> 2x . 1 + 2x . 23 = 144
=> 2x . (1 + 23) = 144
=> 2x . 9 = 144
=> 2x = 144 : 9 = 16
=> x = 4
Cái đề thế này đúng không bạn
2x + 2x+3 = 144
<=> 2x + 8×2x = 144
<=> 9×2x = 9×24
<=> x = 4