Jawaban:

1.

⁵log50 +²log48+⁵log2-²log3

⁵log(5².2) +²log(2⁴.3)+⁵log2-²log3

⁵log5²+ ⁵log2 + ²log2⁴ + ²log3 + ⁵log2 - ²log3

2 + 2(⁵log2) + 4

6 + 2(⁵log2)

2.

ubah masing-masig desimal agar penyebut tidak memiliki bilangan irrasional.

Setelah masing-masing penyebut didapat, samakan penyebut.

(110√7 - 33√5 - 138√2 -253√3)/253 - 1

3.

Un = a.r^(n-1)

r = 3

a = (1/27)

Un = (1/27)(3^(n-1))

U5 = (1/27)(3^4) = 81/27 = 3

Sn = a(r^n-1)/((r-1)

Sn = (1/54)(3^n - 1)

S5 = (1/54)(243-1) = 242/54 = 122/27

4. Asumsi deret aritmatika

U3 = 20

U5 = 80

b = (80-20)/2 = 30

U1 = - 40

Un = a +(n-1)b

Un = - 40 +(n-1)30

Un = - 70 + 30n

U10 = 30(10)-70 = 230

5.⁵log7 = p

²⁵log 70

log₅² 70

(1/2) ⁵log(7.5.2)

(1/2) (⁵log7+ ⁵log5 + ⁵log2)

(1/2)(p+1+⁵log2)

6. ⁷log7 =1

²log8 = ²log2³ = 3

⁷log7 x ²log8 = 1*3 = 3