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a) 52.x = 62 + 82
=> 25 .x = 36 + 64
=> 25.x = 100
=> x = 100 : 25
=> x = 4
b) (22 + 42).x + 24 . 5x = 100
=> (4 + 16).x + 16.5x = 100
=> 20x + 80x = 100
=> 100x = 100
=> x = 100 : 100 = 1
c) 24 : x = 26
=> x = 24 : 26
=> x = 2-2 = 1/4
d) 33x + 23x = 102
=> 27x + 8x = 100
=> 35x = 100
=> x = 100 : 35
=> x = 20/7
Bài giải
\(\left(x-6\right)^3=\left(x-6\right)^2\)
\(\Rightarrow\text{ }\left(x-6\right)^3-\left(x-6\right)^2=0\)
\(\Rightarrow\text{ }\left(x-6\right)^2\left[\left(x-6\right)-1\right]=0\)
\(\Rightarrow\text{ }\left(x-6\right)^2\left[x-6-1\right]=0\)
\(\Rightarrow\text{ }\left(x-6\right)^2\left[x-7\right]=0\)
\(\Rightarrow\orbr{\begin{cases}\left(x-6\right)^2=0\\x-7=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x-6=0\\x=7\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=6\\x=7\end{cases}}\)
\(\Rightarrow\text{ }x\in\left\{6\text{ ; }7\right\}\)
a) x : 123 = 12
x = 12 . 123
x = 124
b) 81 . x = 94
81 . x = 6561
x = 6561 : 81
x = 81
c) 2x - 26 = 6
2x = 6 + 26
2x = 32
2x = 25
x = 5
d) 3x = 81
3x = 34
x = 4
\(a,\left(3x-6\right).3=3^4\)
\(3x-6=27\)
\(3x=33\)
\(x=11\)
\(b,\left(x-3\right):5=6\)
\(x-3=30\)
\(x=33\)
\(c,156-\left(x+61\right)=82\)
\(x+61=74\)
\(x=13\)
a) ( 3x - 6 ) . 3 = 34
3x - 6 = 27
3x = 33
x = 11
b) ( x - 3 ) : 5 = 6
x - 3 = 30
x = 33
c) 156 - ( x + 61 ) = 82
x + 61 = 74
x = 13
5n = 625
=> 5n = 54
=> n = 4
n2 = 169
=> n2 = 132
=> n = 13
62n = 1296
=> 62n = 64
=> 2n = 4
=> n = 2
14n = 149 : 2744
=> 14n = 149 : 143
=> 14n = 146
=> n = 6
Study well
a)Ta có 5n=625
=>5n=54
=>n=4
b)Ta có n2=169
=>n2=132
=>n=±13
c)Ta có 62n=1296
=>62n=64
=>2n=4
=>n=2
d) Ta có 14n=149:2744
=>14n=149:143
=>14n=146
=>n=6
CHÚC BẠN HỌC TỐT
a) 52 . x = 62 + 82
\(5^2\cdot x=36+64\)
\(5^2\cdot x=100\)
\(x=100\div5^2\)
\(x=100\div25\)
\(x=4\)
b) ( 22 + 42 ) . x + 24 . 5 . x = 102
\(\left(4+16\right)\cdot x+16\cdot5\cdot x=100\)
\(x\cdot\left(20+80\right)=100\)
\(x\cdot100=100\)
\(x=100\div100\)
\(x=1\)
c ) 24 . x = 26
\(x=2^6\div2^4\)
\(x=2^{6-4}\)
\(x=2^2\)
\(x=4\)
d) 33 . x + 23 . x = 102
\(x\cdot\left(23+27\right)=100\)
\(x\cdot50=100\)
\(x=100\div50\)
\(x=2\)
e) 78 . x = 710
\(x=7^{10}\div7^8\)
\(x=7^{10-8}\)
\(x=7^2\)
\(x=49\)
8x : 2x = 4
<=> (8 : 2)x = 4
<=> 4x = 4
<=> x = 1
S = 22 + 42 + 62 + ... + 202
S = (22 + 42 + 62 + ... + 202)
S =22.(12 + 22 + 32 + ... + 102 )
S = 4. 385 = 1540
/Tìm X biết
\(8^x:2^x=4\)
\(\Leftrightarrow\left(8:2\right)^x=4\)
\(\Rightarrow4^x=4^1\)
\(\Rightarrow x=1\)
6x=1296
=> 6^x = 6^4
=> x = 4
vậy . ....
6x=64
=>x=4
Vậy x=4