Question

⁴log 16 - ³log 9 + ⁸log 64 = ...?

3 × ⁴log 5 × ⁵log 3 × ²log 4
——————————————— = ...?
⁴log 3 × ²log 7 × ⁷log 4

tolong bantuannya, ya—!

Answer 1

Jawaban:

4 log 16 = 4² = 2

3 log 9 = 3² = 2

8 log 64 = 8² = 2

2-2+2 = 2

Answer 2

Jawab:

logritma

sifat

i) ᵃlog b. ᵇlog  c= ᵃlog c

ii) ᵃlog aⁿ  = n .ᵃlog a = 3

Penjelasan dengan langkah-langkah:

i) ⁴log 16 - ³log 9 + ⁸log 64 = ...

= ⁴log 4² - ³log3²+ ⁸log 8²

= 2 (⁴log 4)  - 2 (³log 3)  + 2 (⁸log 8)

= 2 -2 + 2

= 2

.

ii)  [3 × ⁴log 5 × ⁵log 3 × ²log 4  ] / [⁴log 3 × ²log 7 × ⁷log 4 ] = p/q

p= 3 × ⁴log 5 × ⁵log 3 × ²log 4  

p = 3 .  ²log 4   . ⁴log 5 . ⁵log 3

p = 3.  ²log 3

.

q = ⁴log 3 . ²log 7 . ⁷log 4

q = ²log 7 . ⁷log 4 . ⁴log 3

q =  ²log 3

.

p/q =  { 3.  ²log 3 }/ {²log 3}

p/q = 3