Question

02) Sabendo-se que:

logx a = 8,


logx b = 2

e

logx
c = 1
, calcular:


a)
logx a^3
-------
b^2.c^4

b)
logx ³√ab
----------
c

Answer 1

a) logx a^3/ b^2.c^4 = logx a^3 - logxb^2.c^4 = logx a^3 - (logx b^2 + logx c^4) = 3logx a - 2logx b - 4logx c= 3 8 - 2 2 - 4 1= 24 -4 -4 = 16

b) logx (ab)^(1/3) = 1/3 logx ab = 1/3 (logx a + logx b) = 1/3 (8 + 2) = 10/3