Question

O valor da soma S = log381+ log 2 512 + Log 5 625 =

Answer 1

S = log₃ 81 + log₂ 512 + log₅ 625
S = log₃  3⁴ + log₂ 2⁹ + log₅ 5⁴

log₃ 3⁴ => 3ˣ = 3⁴ => x = 4

log₂ 2⁹ => 2ˣ = 2⁹ => x = 9

log₅ 5⁴ => 5ˣ = 5⁴ => x = 4

S = 4 + 9 + 4 = 15