Question

calcule os seguintes logaritmos:
a) log 5 1
b)log 2 √8
c) log 2 16
d) log 1/5 625
e) log 2 √64

Answer 1

  a) log 5 1 ==> log 1  = x ==> 5^x = 5^0 ==> x = 0
                                5
b)log 2 √8 = x ==> 2^x = V8 ==> 2^x = 2^3(1/2) ==> 2^x = 2^3/2 ==> x = 3/2

c) log 2 16 ==> 2^4 = 2^x ==> x = 4
                           
d) log 1/5 625==>   (1/5)^x = 625==> 5^-x = 5^4 ==> -x = 4(-1) ==> x = - 4

e) log 2 √64 ==> 2^x = V64 ==>2^x = 8 ==> 2^x = 2^3 ==> x = 3