a) \(2^x:4=16\\ \Rightarrow2^x=64\\ \Rightarrow2^x=2^6\\ \Rightarrow x=6\)
b) \(4^{x-3}=256\\ \Rightarrow4^{x-3}=4^4\\ \Rightarrow x-3=4\\ \Rightarrow x=7\)
c) \(\left(2x+1\right)^3=343\\ \Rightarrow\left(2x+1\right)^3=7^3\\ \Rightarrow2x+1=7\\ \Rightarrow x=3\)
d) \(10+2x=4^5:4^3\\ \Rightarrow10+2x=16\\ \Rightarrow x=3\)
a,2^x:4=16
2^x=16.4=64
2^x=2^6
=>x=6
b,4^x-3=256
4^x-3=4^4
=>x-3=4
x=4+3=7
c,(2x+1)^3=343
(2x+1)^3=7^3
=>2x+1=7
2x=7-1=6
x=6:2=3
d,10+2x=4^5:4^3
10+2x=4^2=16
2x=16-10=6
x=6:2=3
a) \(2^x:4=16\)
\(2^x=16.4\)
\(2^x=64\)
\(2^x=2^6\)
⇒ \(x=6\)
b) \(4^{x-3}=256\)
\(4^{x-3}=256\)
\(x-3=4\)
\(x=4+3\)
\(x=7\)
Vậy \(x=7\)
c) \(\left(2x+1\right)^3=343\)
\(\left(2x+1\right)^3=7^3\)
\(2x+1=7\)
\(2x=7-1\)
\(2x=6\)
\(x=6:2\)
\(x=3\)
Vậy \(x=3\)
d) \(10+2x=4^5:4^3\)
\(10+2x=4^2\)
\(10+2x=16\)
\(2x=16-10\)
\(2x=6\)
\(x=6:2\)
\(x=3\)
Vậy \(x=3\)
