Question

Hitunglah
a. ²log 1/8 =
b. ²log 0,25 =
c. 2/5log4/25 =
d. 2log (√72 +√8) =

Answer 1

A) ²log 1/8 = ²log 1 - ²log 8 = 0 - 3 = - 3
b) ²log 0,25 = ²log 1/4 = ²log 1 - ²log 4 = 0 - 2 = - 2
c) (2/5)^ log (4/25) = (2/5)^ log (2/5)^2 = 2 * (2/5)^ log (2/5) = 2 * 1 = 2
d) ²log (√72 + √8) = ²log (3√8 + √8) = ²log 4√8
= ²log 4 + ²log √8 = 2  +  ²log (8)^1/2 = 2 + 1/2 ²log 8
= 2 + 1/2 * (3) = 2 + 3/2 = 7/2