Question

rezolvati ecuatia: log5(2x-1)-log5 din 3 =0

Answer 1

$\log_5(2x-1)-\log_53=0$


Conditii de existenta:

2x-1>0

x>1/2


Aplicam formula: $\log_ax-\log_ay=\log_a \frac{x}{y}$


Egalitatea devine:

$\log_5 \frac{2x-1}{3}=0$
$\frac{2x-1}{3}=1 \\ 2x-1=3 \\ 2x=4 \\ x=2$