c) 2.3x+1 = 10.312 + 8.312;
d) 2x + 2x+3 = 144.
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\(2.3^{x+3}=10.3^{12}+8.3^{12}\)
\(\Leftrightarrow2.3^{x+3}=18.3^{12}\)
\(\Leftrightarrow3^{x+3}=9.3^{12}\)
\(\Leftrightarrow3^{x+3}=3^{14}\)
\(\Leftrightarrow x+3=14\Leftrightarrow x=11\)
\(\Leftrightarrow2\cdot3^{x+3}=3^{12}\cdot18\\ \Leftrightarrow2\cdot3^{x+3}=3^{14}\cdot2\\ \Leftrightarrow x+3=14\Leftrightarrow x=11\)

\(2.3^x=10.3^{12}+8.\left(3^3\right)^4\)
\(2.3^x=10.3^{12}+8.3^{12}\)
\(2.3^x=3^{12}.\left(10+8\right)\)
\(2.3^x=3^{12}.18\)
\(3^x=3^{12}.18:2\)
\(3^x=3^{12}.9\)
\(3^x=3^{12}.3^2\)
\(3^x=3^{14}\)
\(\Rightarrow x=14\)
2.3x=10.312+8.274
2.3x=10.312+23.312
2.3x=312.18
2.3x=312.32.2
2.3x=314.2
=>x=14

2.3x=10.312+8.274
2.3x=10.312+23.312
2.3x=312.18
2.3x=312.32.2
2.3x=314.2
=>x=14

\(2\cdot3^x=10\cdot3^{12}+7\cdot27^4\)
\(\Rightarrow2\cdot3^x=10\cdot3^{12}+7\cdot3^{12}\)
\(\Rightarrow2\cdot3^x=3^{12}\cdot\left(10+7\right)\)
\(\Rightarrow2\cdot3^x=3^{12}\cdot17\)
Xem lại đề
\(2\times3^x=10\times3^{12}+7\times27^4\)
\(2\times3^x=10\times531441+7\times531441\)
\(2\times3^x=531441\times\left(10+7\right)\)
\(2\times3^x=531441\times17\)
\(2\times3^x=9034497\)
\(3^x=4517248,5\)
\(3^x\sim3^{13,948}\)
\(x\sim13,948\)

\(\Rightarrow6x=5312\)
\(\Rightarrow x=5312:6\)
\(\Rightarrow x=885,3333333\)
tíc nha
\(2.3x=10.312+8.274\)
\(=2.3x=3120+2192\)
\(2.3x=5312\)
\(3x=5312:2\)
\(3x=2656\)
\(x=2656:3\)
\(x=\frac{2556}{3}\)


a, ( 19x + 2.52 ) : 14 = ( 13 - 8 )2 - 42
( 19x + 2.52 ) : 14 = ( 13 - 8 )2 - 16
( 19x + 2.52 ) : 14 = 52 - 16
( 19x + 2.52 ) : 14 = 25 - 16
( 19x + 2.52 ) : 14 = 9
( 19x + 2.25 ) : 14 = 9
( 19x + 2.25 ) = 9 . 14
( 19x + 2.25 ) = 126
( 19x + 50 ) = 126
19x = 126 - 50
19x = 76
x = 76 : 19
x = 4
Vậy x = 4
b, 2 . 3x = 10 . 312 + 8 . 274
2 . 3x = 10 . 274 + 8 . 274
2 . 3x = 274 . ( 10+8 )
2 . 3x = 274 . 18
2 . 3x = 9565938
3x = 9565938 : 2
3x = 4782969
3x = 314
=> x = 14
Vậy x = 14
Đây nha bạn!!!
Chúc bạn học tốt!!!
a, ( 19x + 2.52 ) : 14 = ( 13 - 8 )2 - 42
( 19x + 2.52 ) : 14 = ( 13 - 8 )2 - 16
( 19x + 2.52 ) : 14 = 52 - 16
( 19x + 2.52 ) : 14 = 25 - 16
( 19x + 2.52 ) : 14 = 9
( 19x + 2.25 ) : 14 = 9
( 19x + 2.25 ) = 9 . 14
( 19x + 2.25 ) = 126
( 19x + 50 ) = 126
19x = 126 - 50
19x = 76
x = 76 : 19
x = 4
Vậy x = 4
b, 2 . 3x = 10 . 312 + 8 . 274
2 . 3x = 10 . 274 + 8 . 274
2 . 3x = 274 . ( 10+8 )
2 . 3x = 274 . 18
2 . 3x = 9565938
3x = 9565938 : 2
3x = 4782969
3x = 314
=> x = 14
Vậy x = 14

\(2.3^x+5.3^x.3=153\Leftrightarrow2.3^x+15.3^x=153\)
\(\Leftrightarrow17.3^x=153\Leftrightarrow3^x=9\Leftrightarrow x=2\)
\(\Leftrightarrow2.3^x+5.3.3^x=153\)
\(\Leftrightarrow17.3^x=3^2.17\)
\(\Leftrightarrow3^x=3^2\Rightarrow x=2\)
\(c.2,3x+1=10,312+8,312\)
\(2,3x+1=18,624\)
\(2,3x=18,624-1\)
\(2,3x=17,624\)
\(x=17,624:\text{2,3}\)
\(x\approx7,66\)
\(d.2x+2x+3=144\)
\(4x=141\)
\(x=141:4=35,25\)
c: \(2\cdot3^{x+1}=10\cdot3^{12}+8\cdot3^{12}\)
=>\(2\cdot3^{x+1}=3^{12}\left(10+8\right)=3^{12}\cdot18=3^{14}\cdot2\)
=>\(3^{x+1}=3^{14}\)
=>x+1=14
=>x=13
d: \(2^{x}+2^{x+3}=144\)
=>\(2^{x}+2^{x}\cdot8=144\)
=>\(2^{x}\left(1+8\right)=144\)
=>\(2^{x}\cdot9=144\)
=>\(2^{x}=\frac{144}{9}=16=2^4\)
=>x=4