a) \(96-7\left(x+1\right)=14^4:14^3\)
\(\Rightarrow96-7\left(x+1\right)=14^{4-3}\)
\(\Rightarrow96-7\left(x+1\right)=14\)
\(\Rightarrow7\left(x+1\right)=96-14\)
\(\Rightarrow7\left(x+1\right)=82\)
\(\Rightarrow x+1=\dfrac{82}{7}\)
\(\Rightarrow x=\dfrac{82}{7}-1\)
\(\Rightarrow x=\dfrac{75}{7}\)
b) \(\left(5x+3^4\right)\cdot2^4=2^6\cdot7^2\)
\(\Rightarrow5x\cdot2^4+3^4\cdot2^4=2^6\cdot7^2\)
\(\Rightarrow5x\cdot2^4+6^4=\left(2^3\cdot7\right)^2\)
\(\Rightarrow80x+1296=3136\)
\(\Rightarrow80x=1840\)
\(\Rightarrow x=\dfrac{1840}{80}\)
\(\Rightarrow x=23\)
a: =>96-7(x+1)=14
=>7(x+1)=82
=>x+1=82/7
=>x=75/7
b =>5x+81=2^2*7^2=196
=>5x=115
=>x=23
a) \(96-7\left(x+1\right)=14^4:14^3\\ \Leftrightarrow96-7\left(x+1\right)=14\\ \Leftrightarrow7\left(x+1\right)=82\\ \Leftrightarrow x+1=\dfrac{82}{7}\\ \Leftrightarrow x=\dfrac{75}{7}\)
b) \(\left(5x+3^4\right)\cdot2^4=2^6\cdot7^2\\\Leftrightarrow5x+81=196\\ \Leftrightarrow5x=115\\ \Leftrightarrow x=23 \)
a/
\(96-7\left(x+1\right)=14^4:14^3\\ \Leftrightarrow96-7\left(x+1\right)=14\\ \Leftrightarrow7\left(x+1\right)=82\\ \Leftrightarrow x+1=\dfrac{82}{7}\\ \Leftrightarrow x=\dfrac{75}{7}\)
Vậy x= 75/7
b/
\(\left(5x+3^4\right).2^4=2^6.7^2\\ \Leftrightarrow5x+81=\dfrac{2^6.7^2}{2^4}\\ \Leftrightarrow5x+81=2^2.7^2\\ \Leftrightarrow5x+81=196\\ \Leftrightarrow5x=115\\ \Leftrightarrow x=23\)
Vậy x= 23
`96 - 7 .(x + 1 ) = 14^4 : 14^3`
`=> 96 - 7(x + 1) = 14`
`=> 7(x + 1) = 96 - 14`
`=> 7(x + 1) = 82`
`=> x + 1 = 82/7`
`=> x = 82/7 - 1`
`=> x = 75/7`
`(5x + 3^4) . 2^4 = 2^6 . 7^2`
`=> (5x+81) . 16 = 64 . 49`
`=> (5x + 81) .16 = 3136`
`=> 5x + 81 = 196`
`=> 5x = 115`
`=> x = 23`
