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Răspuns :

fie 5^ x³=5

atunci ecuatia devine
5t-5/t=24 a amplificam cu t
5t²-24t-5=0
t1,2= (24+-√(576+100))/10=(24+-26)/10
t1=-1/5
t2=5
5^(x1)³=-1/5  dar 5^f(x)>0, ptca este functie exponentiala, deci nu avem solutii pt x³
 
5^x2³=5 =5^1 ⇒   (x2)³=1  x=1

verificare
5^(1+1) -5^(1-1)=5²=5^0=25-1=24 adevarat


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