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\(3^{x+2}=243\)
\(3^{x+2}=3^5\)
=> x + 2 = 5
=> x = 3
\(2^{x+3}+2^x=144\)
\(2^x.8+2^x=144\)
\(2^x.\left(8+1\right)=144\)
\(2^x.9=144\)
\(2^x=16\)
=> x = 4
\(3^5+2=243\) cái này bạn sai nhé. không ra đâu
\(2^4+3+2^7=147\)cái này bạn sai nhé. không ra đâu
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a. ta có : 2x + 2x+3 = 144=
2x + 2xnhân 23=144
2x(1 + 23) =144
2x nhân 9 =144
2x = 144 : 9
2x = 16
2x = 24
suy ra : x = 4
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\(2^x+2^{x+3}=144\)
\(\Rightarrow2^x+2^x.2^3=144\)
\(\Rightarrow2^x.\left(1+2^3\right)=144\)
\(\Rightarrow2^x.9=144\)
\(\Rightarrow2^x=144:9\)
\(\Rightarrow2^x=16\)
\(\Rightarrow2^x=2^4\)
\(\Rightarrow x=4\)
Vậy x = 4
_Chúc bạn học tốt_
\(2^x+2^{x+3}=144\)
\(\Leftrightarrow2^x+2^x\cdot2^3=144\)
\(\Leftrightarrow2^x+2^x\cdot8=144\)
\(\Leftrightarrow2^x\left(1+8\right)=144\)
\(\Leftrightarrow2^x\cdot9=144\)
\(\Leftrightarrow2^x=144:9\)
\(\Leftrightarrow2^x=16\)
\(\Leftrightarrow2^x=2^4\)
\(\Leftrightarrow x=4\)
Vậy x=4
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2x + 2x+3 = 144
2x.(1+23) = 144
2x. 9 = 144
2x = 16 = 24
=> x = 4
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a) Mik làm được mỗi phần a thôi nha ! Thông cảm !
a) 38 - 2x = 3 . 23
38 - 2x = 3 . 8
38 - 2x = 24
2x = 38 - 24
2x = 14
=> x = 7
Vậy x = 7
a) 38 - 2x = 3.23
38 - 2x = 3.8
38 - 2x = 24
2x = 38 - 24
2x = 14
x = 7
b) 2x + 3 + 2x = 144
9.2x = 144
2x = 144 : 9
2x = 16
2x = 24
x = 4
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\(2^x+2^{x+3}=144\)
=> \(2^x.\left(1+2^3\right)=144\)
=> \(2^x.\left(1+8\right)=144\)
=> \(2^x.9=144\)
=> \(2^x=144:9\)
=> \(2^x=16\)
=> \(2^x=2^4\)
=> \(x=4\)
Ta co :
2^x+2^x+3=144
2^x.1+2^x.2^3=144
2^x(1+2^3)=144
2^x.9=144
2^x=144:9
2^x=16
Ma :2^x=2^4
=>x=4
****
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\(\left(3x+3\right)^2=144\)
\(3x+3=\sqrt{144}\)
\(3x+3=12\)
\(3x=9\)
\(x=3\)
(3x+3)2=144=122
<=>3x+3=12 hoặc 3x+3=-12
<=>3x=9 hoặc 3x=-15
<=>x=3 hoặc x=-5