Question

Sendo Log 5 a = m e Log2 a = n
Qual o resultado de Log 50 a ???

Answer 1

Olá!



$\log_a5=m\qquad\qquad\log_a2=n\qquad\qquad\log_a50=\,\,?$


$\log_a50=\\\\\log_a(2\cdot5\cdot5)=\\\\\log_a2+\log_a5+\log_a5=\\\\\log_a2+2\log_a5=n+2m\\\\\boxed{\boxed{\log_a50=n+2m}}$



Bons estudos!