(5^x)*5 + 3*(1/5^x) - 16 = 0 / *5^x5*(5^2x) - 16*(5^x) + 3 = 05^x = t 5*(t^2) - 16t + 3 = 0D = 256 - 4*5*3 = 196t1 = (16 - 14)/10t1 = 1/5t2 = (16 + 14)/10t2 = 35^x = 1/55^x = 5^(- 1)x1 = - 15^x = 3x2 = log(5) 3
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(5^x)*5 + 3*(1/5^x) - 16 = 0 / *5^x
5*(5^2x) - 16*(5^x) + 3 = 0
5^x = t
5*(t^2) - 16t + 3 = 0
D = 256 - 4*5*3 = 196
t1 = (16 - 14)/10
t1 = 1/5
t2 = (16 + 14)/10
t2 = 3
5^x = 1/5
5^x = 5^(- 1)
x1 = - 1
5^x = 3
x2 = log(5) 3