Question

sabendo que k= log 5 na base 5 + log 25 na base 5 + log 125 na base 5 - log 10. então o valor de k é?

Answer 1

Log ₅ 5 = x

5ˣ = 5

5ˣ = 5¹

x = 1

Log₅ 25 = x

5ˣ = 25

5ˣ = 5²

x = 2

Log₅ 125 = x

5ˣ = 125

5ˣ = 5³

x = 3

Log 10 = x

10ˣ = 10

10ˣ = 10¹

x = 1

k = 1 + 2 + 3 - 1

k = 6 - 1

k = 5