hitunglah setiap bentuk di bawah ini. a. 4log(1/32) b. 5log(5akar5) c.log10 d.2log 8akar2 e. 2akar2log16 f. 5log30 g. 8log60 h. in e^5

a) 4 log (1/32) = 2^2 log 2^-5 = (-5/2) x 2 log 2 = -5/2
b) 5 log 5 akar5 = 5 log 5^(1/2) = 1/2 x 5 log 5 = 1/2
c) log 10 = 1
d) 2 log 8 akar2 = 2 log 2^3 x 2^(1/2) = 2 log 7/2 = 7/2 x 2 log 2 = 7/2
e) 2 akar2 log 16 = 2.2^(1/2) log 2^4 = 2^(3/2) log 2^4 = (4 x 2/3) x 2 log 2 = 8/3
f) 5 log (5 x 6) = 5 log 5 + 5 log 6 = 1 + 5 log 6
g)
Cara 1
8 log 60 = 2^3 log (2 x 2 x 3 x 5) = 2^3 log 2 + 2^3 log 2 + 2^3 log 3 + 2^3 log 5 = 1/3 x 2 log 2 + 1/3 x 2 log 2 + 1/3 x 2 log 3 + 1/3 2 log 5 = 1/3 + 1/3 + 1/3 x 2 log 3 + 1/3 x
2 log 5 = 1/3 ( 2 + 2 log 3 + 2 log 5) = 1/3 ( 2 + 2 log 15)
Cara 2
8 log 60 = 2^3 log 2^2 x 15 = 2^3 log 2^2 + 2^3 log 15 = 2/3 x 2 log 2 + 1/3 log 15 = 1/3( 2 + 2 log 15)
h) ln e^5 = 5