a) 42x-6 = 1 = 40
=> 2x - 6 = 0
=> 2x = 0 + 6
=> 2x = 6
=> x = 6 : 2
=> x = 3
Vậy x = 3
b) 5x + 5x+1 + 5x+2 = 775
=> 5x + 5x.5 + 5x.52 = 775
=> 5x + 5x.5 + 5x.25 = 775
=> 5x.(1 + 5 + 25) = 775
=> 5x.31 = 775
=> 5x = 775 : 31
=> 5x = 25 = 52
=> x = 2
Vậy x = 2
\(4^{2x-6}=1\Rightarrow2x-6=0\Rightarrow2x=6\Rightarrow x=\frac{6}{2}=3\)
a, 42x-6=1
\(\Rightarrow4^{2x-6}=4^0\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=3\)
b) 5x+ 5x+1+5x+2=775
\(\Rightarrow5^x+5^{x+1}+5^{x+2}=775\)
\(\Rightarrow5^x\left(1+5^1+5^2\right)=775\)
\(\Rightarrow5^x\cdot31=775\)
\(\Rightarrow5^x=25\)
\(\Rightarrow5^x=5^2\)
\(\Rightarrow x=2\)