Question

Qual a resolução desses logaritmos?

Answer 1

Boa noite

a)

log125(625) = log(625)/log(125) = log(5^4)/log(5^3) = 4/3 

b) 

log243(3) = log(3)/log(243) = log(3)/log(3^5) = 1/5 

c)

log81(1/243) = -log(243)/log(81= - log(3^5)/log(3^4) = -5/4

d)

log0.3(0.09) = log0.3(0.3^2) = 2

e)

log( log( (27/8)^(8/27)^2)) = -1.334