Question

Aplique as propriedades dos logaritmos:

a) log4 (a⁹b¹⁵ ÷ c⁶)
b) log (x⁷ . y⁶ ÷ 10)
c) log (15 d ÷ 13 a)
d) log15 ( 20x ÷ 7c )
e) log9 (x⁴ z⁸ ÷ y³)
f) log4 (2 x y ÷ v r )
g) log5 (x² z⁴ ÷ y7)
h) log (2a³ ÷ 5)​

Answer 1

Explicação:

a) log 4 (a^9b^15 ÷ c^6) = log 4 (a^9b^15) - log 4 (c^6) = log 4 (a^9) + log 4 (b^9) - log 4 (c^6) = 9log 4 (a) + 15log 4 (b) - 6log 4 (c)

b) log(x^7y^6 ÷ 10) = log(x^7)+log(y^6)-log(10) = 7log(x)+6log(y) - 1

c) log(15d ÷ 13a) = log(15d)-log(13a) = log(15) +log(d) - log(13) - log(a)

d) log 15 (20x ÷ 7c) = log 15 (20) + log 15 (x) - log 15 (7) - log 15 (c)

e) log 9 (x⁴z^8 ÷ y³) = log 9 (x⁴) + log 9 (z^8) - log 9 (y³) = 4log 9 (x) + 8log 9 (z) - 3log 9 (y)

f) log 4 (2xy ÷ vr) =log 4 (2) + log 4 (x) + log 4 (y) - log 4 (v) - log 4 (r) = 0.5 + log 4 (x) + log 4 (y) - log 4 (v) - log 4 (r)

g) log 5 (x²z⁴ ÷y^7) = log 5 (x²) + log 5 (z⁴) - log 5 (y^7) = 2log 5 (x) + 4log 5 (z) - 7 log 5 (y)

h)log(2a³ ÷ 5) = log(2) + log(a³) - log(5) = log (2) + 3log(a) - log(5)

Tô meio dormindo talvez tenha algum erro de digitação