Question

Determine o valor de x na equação logarítmica, log de 3 na base 5 + log de ( x +2 ) na base 5 = 2 ​

Answer 1

$\log_{a}b+\log_{a}c=\log_{a}b.c$

$\log_{5}3+\log_{5}(x+2)=2\\\\\log_{5}[3.(x+2)]=2\\\\\log_{5}(3x+6)=2\\\\5^2=3x+6\\\\25=3x+6\\\\19=3x\\\\x=\frac{19}{3}$