Question

(Mack SP) Se ¼ log m^5 – 3/4 log m√ 3, m>0, o valor de m é:

Answer 1

Oi Barbara 

log(m^5)/4 - 3log(m)/4 = log(√3)

log(m^5) - 3log(m) = 4log(√3) = log(9) = 2log(3)

5log(m) - 3log(m) = 2log(3)

2log(m) = 2log(3)

m = 3

Answer 2

-------> (1/4).log m^5 - (3/4).log m = log (²V3) 
-------> (5/4).log m - (3/4).log m = (1/2).log 3 
-------> log m.(5/4 - 3/4) = (1/2).log 3 
-------> log m.(1/2) = (1/2).log 3 
-------> log m = log 3 
-------> m = 3