Jawaban:

Logaritma

a log(a) = 1

a log(m) + a log(n) = a log(m x n)

a log(m) - a log(n) = a log(m/n)

a log(b) = ⁿlog(b)/ⁿlog(a) , dimana n > 0, n ≠ 1

a log(n). ⁿlog(b) = a log(b)

a log(aⁿ) = n

6). ²log(6) - ²log(12) + ²log(16)

= ²log(⁶/12) + ²log(16)

= ²log(½) + ²log(16)

= ²log(½ x 16)

= ²log(8)

= ²log(2³)

= 3

7). ²log(5) = x dan ⁵log(7) = y

²log(5). ⁵log(7) = ²log(7) = xy

Maka:

= ⁴log(35)

= ²log(35) / ²log(4)

= ²log(5 x 7) / ²log(2²)

= { ²log(5) + ²log(7) } / 2

= (x + xy)/2

= ½ (x + xy)