Log5 (x+3) + log x+3 5=2

Log5 (x+3) + logx+3 (5) = 2 ОДЗ x+3>0 x>-3 и x+3 ≠1 x≠-2

свойство логарифма loga (b) = 1/logb (a)

log5 (x+3) + 1/log5 (x+3) = 2

log5 (x+3) = a

a+1/a=2

a^2+1=2a

a^2-2a+1=0

(a-1) ^2=0

a=1

log5 (x+3) = 1

log5 (x+3) = log5 (5)

x+3=5

x=2