Respuesta :
Answer:
[tex]\log_5(125) =3[/tex]
Step-by-step explanation:
Question:
To evaluate [tex]\log 125[/tex] to the base 5
Solution:
We will apply log properties to evaluate.
We will use the following property of logarithms
If [tex]\log _ab=x[/tex]
Then, [tex]a^x=b[/tex]
Let [tex]\log_5(125) =x[/tex]
So, we have
[tex]5^x=125[/tex]
We can write [tex]125=5\times 5\times 5=5^3[/tex]
[tex]5^x=5^3[/tex]
∴ [tex]x=3[/tex]
Thus, we have
[tex]\log_5(125) =3[/tex]
