Question

Jika deiketahui ² log 3 = a, dan ² log 5 = b, maka ² log 20/24 adalah?
A. 2(a+b)
B. b(a+1)
C. a/b
D. a-2b
E. 2+b/3+a

gunakan cara berserta penjelasanya
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Answer 1

Verified answer

JAWABAN

²log (20/24) = b - (a + 1)

PEMBAHASAN

²log 3 = a

²log 5 = b

²log (20/24)

= ²log (5/6)

= ²log 5 - ²log 6

= b - ²log (2 × 3)

= b - (²log 2 + ²log 3)

= b - (1 + a)

= b - (a + 1)

Answer 2

Jawab:

Penjelasan dengan langkah-langkah:

[tex]^2\log3 = a \ \text{dan} \ ^2\log5 = b[/tex]

[tex]^2\log(\frac{20}{24}) = \ ^2\log20 - \ ^2\log24[/tex]

[tex]= \ ^2\log(4\times5) - \ ^2\log(4\times 6)[/tex]

[tex]= \ ^2\log4+ \ ^2\log5 - ( \ ^2\log4 +\ ^2\log6)[/tex]

[tex]= \ ^2\log2^2 + \ ^2\log5 - ( \ 2\cdot^2\log2 + \ ^2\log(2\times 3))[/tex]

[tex]= 2 \cdot ^2\log2 + \ ^2\log5 -(\ 2\cdot^2\log2 + \ ^2\log2 + \ ^2\log3)[/tex]

[tex]= 2+b-(2+1+a)[/tex]

[tex]=b-a-1[/tex]