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\(a,345-x=257\)
\(x=88\)
\(b,7.x=115\)
\(x=\frac{115}{7}\)
\(c,\left(x+x+...+x\right)+\left(1+2+...+100\right)=5750\)
\(x\times100+5050=5750\)
\(x\times100=700\)
\(x=7\)
2^x+2^x+3=144
2^x+2^x.2^3=144
2^x(1+2^3)=144
2^x.9=144
2^x=16
2^x=2^4=>x=4
a)(167+35)+(134-167-35) b)(43-31+57)-(243-345+54) c)(89-76)+(76-89+28) d)(243+46-345)-(243-345+54)
=167+35+134-167-35 =43-31+51-43+345-54 =89-76+76-89+28 =243+46-345-243+345-54
=167-167+35-35+134 =12+51-43+345-54 =0+28 =289-345-243+345-54
=0+0+134 =63-43+291 =28 =(-56)-243+345-54
=134 =20+291=311 =(-299)+345-54
=46-54=-8
a) \(234+\left(345-x\right)=500\)
\(345-x=500-234\)
\(345-x=266\)
\(x=79\)
vay \(x=79\)
b) \(456-\left(x+23\right)=326\)
\(x+23=456-326\)
\(x+23=130\)
\(x=107\)
vay \(x=107\)
c) \(\left(5x-15\right):5=0\)
\(5x-15=0\)
\(5x=15\)
\(x=3\)
vay \(x=3\)
d) \(84-4\left(2x+1\right)=48\)
\(8x+4=84-48\)
\(8x+4=36\)
\(8x=32\)
\(x=4\)
vay \(x=4\)
e) \(\left(x-76\right).54=0\)
\(x-76=0\)
\(x=76\)
vay \(x=76\)
f) \(\left(x-3\right)\left(x+4\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\x+4=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
vay \(\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
g) \(\left(x-6\right)\left(x-7\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-6=0\\x-7=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
vay \(\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
h) \(\left(x-2\right)\left(x-3\right)\left(x-5\right)=0\)
\(\Rightarrow x-2=0\Rightarrow x=2\)hoac \(\orbr{\begin{cases}x-3=0\\x-5=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=3\\x=5\end{cases}}\)
vay \(x=2\)hoac \(\orbr{\begin{cases}x=3\\x=5\end{cases}}\)
a) ( 2017 - x ) : 3 = 345
<=> 2017 - x = 1035
<=> x = 2017 - 1035
<=> x = 982
b) 317 - ( 213 - x ) = 137
<=> 213 - x = 317 - 137
<=> 213 - x = 180
<=> x = 213 - 180
<=> x = 33
c) [ (2x + 51 ) - 97 ] . 3 = 72
<=> (2x + 51) - 97 = 24
<=> 2x + 51 = 121
<=> 2x = 70
<=> x = 35
d) x + 345 : 15 = 65
<=> x + 23 = 65
<=> x = 42
e) 12x + 24 =744
<=> 12x = 720
<=> x = 60
g) 12 (x + 24) = 744
<=> x + 24 = 62
<=> x = 38
3:
a: 3^x*3=243
=>3^x=81
=>x=4
b; 2^x*16^2=1024
=>2^x=4
=>x=2
c: 64*4^x=16^8
=>4^x=4^16/4^3=4^13
=>x=13
d: 2^x=16
=>2^x=2^4
=>x=4
243 + (345 - x) = 500
345 - x = 500 - 243
345 - x = 257
x = 345 - 257
x = 88