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1: =>\(5^{x-2}-9=2^4-\left(6^2-6^2\right)\)
=>\(5^{x-2}=16+9=25\)
=>x-2=2
=>x=4
2: \(\Leftrightarrow3^x+16=19^6:19^5-3=19-3=16\)
=>3^x=0
=>x=0
3: \(\Leftrightarrow2^x+2^x\cdot16=272\)
=>2^x*17=272
=>2^x=16
=>x=4
4: \(\Leftrightarrow2^{x-1}+3=24-\left(4^2-2^2+1\right)=24-\left(16-4+1\right)\)
=>\(2^{x-1}+3=24-16+4-1=8+4-1=12-1=11\)
=>2^x-1=8
=>x-1=3
=>x=4
a: =>x-562=20
=>x=582
b: =>562-x+568=0
=>1130-x=0
=>x=1130
c: =>2x-123=283-62=221
=>2x=344
=>x=172
d: =>2x-1=2
=>2x=3
=>x=3/2
a) \(\Rightarrow x=2021-2006=15\)
b) \(\Rightarrow2x-2016=64\Rightarrow2x=2016+64=2080\Rightarrow x=1040\)
c) \(\Rightarrow\left(2x+1\right)^3=81:3=27\Rightarrow2x+1=3\)
\(\Rightarrow2x=3-1=2\Rightarrow x=1\)
`1/3 : (2x - 1) = (-4/24)`
`2x - 1 = 1/3 : (-4/24)`
`2x - 1 = -2`
`2x = (-2) + 1`
`2x = (-1)`
`x = 2 : (-1)`
`x = -2`
\(2^x+2^{x+1}=24\\ \Rightarrow2^x+2^x\cdot2=24\\ \Rightarrow2^x\left(2+1\right)=24\\ \Rightarrow2^x\cdot3=24\\ \Rightarrow2^x=24:3\\ \Rightarrow2^x=8\\ \Rightarrow2^x=2^3\\ \Rightarrow x=3\)