tim x : 2 . 3^x= 10 . 3^12+8 . 27^4
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1
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3
7 tháng 9 2016
a, ( 19.x + 2.52 ) : 14 = ( 13 - 8 )2
=> ( 19.x + 6,25 ) : 14 = 25
=> ( 19.x + 6,25 ) = 25 . 14
=> ( 19.x + 6,25 ) = 350
=> 19.x = 350 - 6,25
=> 19.x = 343,75
=> x = 343,75 : 19
=> x = ?
6 tháng 4 2017
a) (19x + 50) : 14 = 9 nên x=4
b) 2.3x = 10.312 + 8.312
2.3x = 312 (10 + 8) ; 2.3x = 312.18
3x = 312.32 ; 3x = 314 . Vậy x = 14
IH
1
AH
Akai Haruma
Giáo viên
13 tháng 12 2023
Lời giải:
a.
$(25-2x)^3:5-3^2=4^2$
$(25-2x)^3:5=4^2+3^2=25$
$(25-2x)^3=25.5=5^3$
$\Rightarrow 25-2x=5$
$\Rightarrow 2x=20$
$\Rightarrow x=10$
b.
$2.3^x=10.3^{12}+8.27^4=10.3^{12}+8.3^{12}=18.3^{12}=2.3^{14}$
$\Rightarrow 3^x=3^{14}$
$\Rightarrow x=14$
29 tháng 9 2016
\(x\in\left(\infty;-\infty\right)\)
\(\frac{19x+50}{14}=\frac{9}{1}\Rightarrow\left(19x+50\right)1=14.9\)
\(\frac{\left(19x+50\right)1}{19x}=\frac{14.9}{19x}\)
\(\frac{19x+50}{19x}=\frac{14.19}{19x}\)
\(\Rightarrow x=4\)
29 tháng 9 2016
a, \(\left(19.x+2.5^2\right)\div14=\left(13-8\right)^2-4^2\)
\(\left(19.x+2.25\right)\div14=5^2-4^2\)
\(\left(19.x+2.25\right)\div14=25-16\)
\(\left(19.x+50\right)\div14=9\)
\(\left(19.x+50\right)=9.14\)
\(19.x+50=126\)
\(19.x=126-50\)
\(19.x=76\)
\(\Rightarrow x=76\div19\)
\(\Rightarrow x=4\)
Vậy x = 4
b, \(2.3^x=10.3^{12}+8.27^4\)
\(2.3^x=10.3^{12}+8.\left(3^3\right)^4\)
\(2.3^x=10.3^{12}+8.3^{12}\)
\(2.3^x=\left(10+8\right).3^{12}\)
\(2.3^x=18.3^{12}\)
\(2.3^x=2.3^3.3^{12}\)
\(2.3^x=2.3^{15}\)
\(\Rightarrow x=15\)
Vậy x = 15
5 tháng 10 2017
a) \(\left(19x+2\cdot5^2\right)\div14=\left(13-8\right)^2-4^2\)
\(\left(19x+2\cdot25\right)\div14=5^2-16\)
\(\left(19x+50\right)\div14=25-16=9\)
\(19x+50=9\cdot14=126\)
\(19x=126-50=76\)
\(x=76\div19=4\)
b) \(2\cdot3^x=10\cdot3^{12}+8\cdot\left(3^3\right)^4\)
\(2\cdot3^x=\left(10+8\right)\cdot3^{12}\)
\(2\cdot3^x=18\cdot3^{12}\)
\(\Rightarrow2\cdot3^x=2\cdot3^2\cdot3^{12}\Rightarrow2\cdot3^x=2\cdot3^{15}\Rightarrow x=15\)
EP
5 tháng 10 2017
a, \left(19.x+2.5^2\right)\div14=\left(13-8\right)^2-4^2(19.x+2.52)÷14=(13−8)2−42
\left(19.x+2.25\right)\div14=5^2-4^2(19.x+2.25)÷14=52−42
\left(19.x+2.25\right)\div14=25-16(19.x+2.25)÷14=25−16
\left(19.x+50\right)\div14=9(19.x+50)÷14=9
\left(19.x+50\right)=9.14(19.x+50)=9.14
19.x+50=12619.x+50=126
19.x=126-5019.x=126−50
19.x=7619.x=76
\Rightarrow x=76\div19⇒x=76÷19
\Rightarrow x=4⇒x=4
Vậy x = 4
b, 2.3^x=10.3^{12}+8.27^42.3x=10.312+8.274
2.3^x=10.3^{12}+8.\left(3^3\right)^42.3x=10.312+8.(33)4
2.3^x=10.3^{12}+8.3^{12}2.3x=10.312+8.312
2.3^x=\left(10+8\right).3^{12}2.3x=(10+8).312
2.3^x=18.3^{12}2.3x=18.312
2.3^x=2.3^3.3^{12}2.3x=2.33.312
2.3^x=2.3^{15}2.3x=2.315
\Rightarrow x=15⇒x=15
Vậy x = 15
2.3x=10.312+8.274
2.3x=10.312+8.312
2.3x=312(10+8)
2.3x=312.18
3x=312.18:2
3x=312.9
3x=312.32
3x=314
=>x=14