Question

determine o valor de log 27 na base 3 + log 64 na base 2 + log 5 na base 125​

Answer 1

Log ₃  27

3ˣ = 27

3ˣ = 3³

x = 3

Log ₂  64

2ˣ = 64

2ˣ = 2⁶

x = 6

Log ₁₂₅  5

125ˣ = 5

(5³)ˣ = 5¹

5³ˣ = 5¹

3x = 1

x = 1/3

Log ₃  27 + Log ₂  64 + Log ₁₂₅  5

= 3 + 6 + 1/3

= 9/3 + 18/3 + 1/3

= 28/3

Answer 2

Boa noite!

$log_{3}27 + log_{2}64 + log_{125}5 = log_{3}27 + log_{2}64 + \frac{log_{5}5}{log_{5}125} = 3 + 6 + \frac{1}{3} = 9 + \frac{1}{3} = \frac{3.9}{3} + \frac{1}{3} = \frac{27}{3} + \frac{1}{3} = \frac{28}{3}$

Espero ter ajudado!