2ˣ⁺³ - 2ˣ =112
2³*2ˣ-2ˣ =112
2ˣ*(8-1) =112
2ˣ=112/7
2ˣ=16=2⁴
x=4
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7²ˣ - 6*7ˣ +5=0
7ˣ=t
t²-6t+5=0
D=36-20=16 √D=4
t₁=(6+4)/2=5 7ˣ=5 x=㏒₇5
t₂=(6-4)/2=1 7ˣ=1 x=0
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4^(√(5x+1) +2) =(1/4)⁻¹ * 2^(√(5x+1))
4² * 4^(√(5x+1)) = 4*2^(√(5x+1))
4* 4^(√(5x+1)) =2^(√(5x+1)
4* 2^(2√(5x+1) - 2^(√(5x+1) =0 2^(√(5x+1)=t ОДЗ 5х-1≥0
x≥1/5
4t²-t=0
t(4-t)=0
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t=0 2^(√(5x+1)= 0 решения нет
4-t=0 4-2^(√(5x+1)=0 4=2^(√(5x+1)
2²=2^(√(5x+1)
√(5x+1= 2
5х+1=4
5х=3
х=3/5