Toán Lớp 6: 5^x+3.5^4x-5^2x.5^3x+2=100
nhanh, trong 5 phút
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Toán Lớp 6: 5^x+3.5^4x-5^2x.5^3x+2=100
nhanh, trong 5 phút
Comments ( 1 )
=>5^(x+3+4x)-5^(2x+3x+2)=100
=>5^(x(1+4)+3)-5^(x.(2+3)+2)=100
=>5^(5x+3)-5^(5x+2)=100
=>5^(5x) . 5^3-5^(5x) . 5^2=100
=>5^(5x) . 125-5^(5x) . 25=100
=>5^(5x).(125-25)=100
=>5^(5x).100=100
=>5^(5x)=100:100
=>5^(5x)=1
=>5^(5x)=5^0
=>5x=0
=>x=0:5
=>x=0
Vậy x=0