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\(2.3^x=10\cdot3^{12}+8.27^4\)
\(10.3^{12}+8.27^4=10.3^{12}+8.3^{12}\)
\(10.3^{12}+8.3^{12}=3^{12}\cdot\left(10+8\right)=3^{12}\cdot18=3^{12}\cdot2\cdot3^2=3^{14}\cdot2\)
=>x = 14
a. 2.3x = 10 . 312 + 8 . 274
2.3x = 10 . 312 + 8 . ( 33 )4
2.3x = 10 . 312 + 8 . 312
2.3x = 312 . ( 10 + 8 ) = 312 . 18
3x = 312 . 9
3x = 312 . 32
3x = 314 => x = 14
b. 64 . 4x = 45
43 . 4x = 45
43+x = 45
3 + x =5
x = 5 - 3 = 2
c. 2x = 4 . 128
2x = 22 . 27
2x = 29 => x = 9
d. Mik 0 bik làm do đề khó hiểu quá nhé!!! :))
e. ( x5 )10 = x
x50 = x
x50 - x = 0 => x . x49 - x = 0
x . ( x49 - 1 ) = 0
=> x = 0 hoặc x49 - 1 = 0
=> x = 0 hoặc x49 = 1 = 149
=> x = 0 hoặc x = 1
<=>2.3x=9565938 tính ra số hơi to ^^
=>3x2=2.4782696 ( 2 vế rút gọn 2 )
=>3x=4782969
=>x=14
a) \(2^{2x}.2^4=1024\)
\(2^{2x}=1024:2^4\)
\(2^{2x}=1024:16\)
\(2^{2x}=64\)
\(2^{2x}=2^6\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
vay \(x=3\)
b) \(2.3^x=10.3^{12}+8.27^4\)
\(2.3^x=2.5.3^{12}+2^3.\left(3^3\right)^4\)
\(2.3^x=2.5.3^{12}+2^3.3^{12}\)
\(2.3^x=2.3^{12}.\left(5+2^2\right)\)
\(2.3^x=2.3^{12}.9\)
\(2.3^x=2.3^{12}.3^2\)
\(2.3^x=2.3^{14}\)
\(\Rightarrow x=14\)
vay \(x=14\)
c) \(5^8.25^x+1=5^{17}\)
\(5^8.\left(5^2\right)^x+1=5^{17}\)
\(5^8.5^{2x}+1=5^{17}\)
\(5^{8+2x}=5^{17}-1\)
e) \(\left(2x-4\right)^5=\left(2x-4\right)^3\)
\(\left(2x-4\right)^5-\left(2x-4\right)^3=0\)
\(\left(2x-4\right)\left[\left(2x-4\right)^2-1\right]=0\)
\(\left(2x-4\right)\left(2x-4-1\right)\left(2x-4+1\right)=0\)
\(\left(2x-4\right)\left(2x-5\right)\left(2x-3\right)=0\)
\(\Rightarrow2x-4=0\)hoac \(\orbr{\begin{cases}2x-5=0\\2x-3=0\end{cases}}\)
\(\Rightarrow2x=4\)hoac \(\orbr{\begin{cases}2x=5\\2x=3\end{cases}}\)
\(\Rightarrow x=2\)hoac \(\orbr{\begin{cases}x=\frac{5}{2}\\x=\frac{3}{2}\end{cases}}\)
vay \(x=2\)hoac \(\orbr{\begin{cases}x=\frac{5}{2}\\x=\frac{3}{2}\end{cases}}\)
\(2.3^x=10.3^{12}+8.27^4\)
\(2.3^x=10.3^{12}+8.\left(3^3\right)^4\)
\(2.3^x=10.3^{12}+8.3^{12}\)
\(2.3^x=3^{12}.18\)
\(2.3^x=3^{12}.3^2.2\)
\(2.3^x=2.3^{14}\)
\(\Rightarrow x=14\)
\(2.3^x=10.3^{12}+8.27^4\)
\(\Rightarrow 2.3^x=2.3^{12}.5+2.3^{12}.2^2\)
\(\Rightarrow 2.3^x=2.3^{12}.(5+2^2)\Rightarrow 2.3^x=2.3^{12}.9\)
\(\Rightarrow 2.3^x=2.3^{12}.3^2\Rightarrow 2.3^x=2.3^{14}\Rightarrow 3^x=3^{14}\Rightarrow x=14\)
k mk nha bạn!
a) x^10 = 1^x
=> x=0;1
b) 2.3^x =10.3^12+8.27^4
=> 2.3^x=9565938
=> 3^x=4782969
=> x=3^14
=> x=14
c) x^10=x
=> x=0 ;1