URGENT, VA ROOG!!
Rezolvati ecuatia: log 5(x+2)-log 5 (2x-5)= 1


Răspuns :

[tex]\log_5(x+2)-\log_5 (2x-5)= 1\\~ \log_5(x+2)-\log_5 (2x-5)= log_55\\~ \log_5\frac{x+2}{2x-5} = log_55\\~ \frac{x+2}{2x-5} = 5\\~ x+2 = 5(2x-5)\\~ -9x+2+25 = 0\\~ -9x = -27\\~ x = 27/9\\~ x = 3[/tex]