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\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(5^{x+3}.5-3.5^{x+3}=2.5^{11}\)
\(5^{x+3}.\left(5-3\right)-2.5^{11}=0\)
\(5^{x+3}.2-2.5^{11}=0\)
\(2\left(5^{x+3}-5^{11}\right)=0\)
\(\Rightarrow5^{x+3}-5^{11}=0\)
\(\Rightarrow5^{x+3}=5^{11}\)
\(\Rightarrow x+3=11\)
\(\Rightarrow x=8\)
vậy \(x=8\)
sai đề rồi bạn oi 5x+4-3.5x+3=0 mà sao mà bằng 2.511được
\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(\Leftrightarrow5^{x+3+1}-3.5^{x+3}=2.5^{11}\)
\(\Leftrightarrow5^{x+3}.5-3.5^{x+3}=2.5^{11}\)
\(\Leftrightarrow5^{x+3}.\left(5-3\right)=5^{11}.2\)
\(\Leftrightarrow5^{x+3}.2=5^{11}.2\)
\(\Leftrightarrow5^{x+3}=5^{11}\)
\(\Leftrightarrow x+3=11\)
\(\Leftrightarrow x=8\)
Vậy \(x=8\)
\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(\Rightarrow5^x.5^4-3.5^x.5^3=2.5^{11}\)
\(\Rightarrow5^x.5^3\left(5-3\right)=2.5^{11}\)
\(\Rightarrow5^x.2=2.5^8\)
\(\Rightarrow5^x=5^8\)
\(\Rightarrow x=8\)
Vậy \(x=8\)
\(5^{x+3}(5-3)=2.5^{11}\)
<=>\(2.5^{x+3}=2.5^{11}\)
<=>\(5^{x+3}=5^{11}\)
<=>x+3=11
<=>x=8
\(5^{x+4}-3.5^{x+3}=2.5^{11}\)
\(\Rightarrow5^{x+3}\left(5-3\right)=2.5^{11}\)
\(\Rightarrow5^{x+3}=5^{11}\)
\(\Rightarrow x+3=11\)
\(\Rightarrow x=8\)
a) 5x + 1 - 2.5x = 75
<=> 5x.5 - 2.5x = 75
<=> 5x.3 = 75
<=> 5x = 25
<=> 5x = 52
<=> x = 2
Vậy x = 2
b) 9x + 1 - 5.32x = 324
<=> (32)x + 1 - 5.32x = 324
<=> 32x + 2 - 5.32x = 324
<=> 32x.32 - 5.32x = 324
<=> 32x . 4 = 324
<=> 32x = 81
<=> 32x = 34
<=> 2x = 4
<=> x = 2
Vậy x = 2
a,5x+5x+1= 150
\(\Rightarrow5^x.(1+5)=150\)
\(\Rightarrow5^x.6=150\)
\(\Rightarrow5^x=150:6\)
\(\Rightarrow5^x=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)
câu b làm s bn