Jawaban:
1. a. 3 log 729
= 3 log 3⁶
= 3
b. ^(1/5) log 25√(5)
= ^(1/5) log 25.(5^(1/2))
= ^(1/5) log 25 + ^(1/5) log 5^(1/2)
= ^(5^-1) log 5^2 + ^(5^-1) log 5^(1/2)
= (2/-1)(^5 log 5) + (1/2 : -1)(^5 log 5)
= (-2)(1) + (-1/2)(1)
= -2 - 1/2
= -4/2 - 1/2
= -5/2
Jadi, nilai dari ^(1/5) log 25√(5) adalah -5/2.
2. a. 3^log 25× 1/5^log 81- 8^log 1/64
=3^log (5^2) x (5^-1)^log (3^4) - (2^3)^log (2^-6)
=(2/1) 3^log5 x (-4/1) 5^log3 - (-6/3) 2^log2
=2 x (-4) x (3^log5 x 5^log3) + (2 x 1)
= -8 x (3^log5 x 5^log3) + (2 x 1)
= -8 x 3^log 3 + 2
= -8 x 1 + 2
= -6
b. 7^log 1/49 + 5^log 2 × 8^log 125 - 1/27^log 9
=7^log(7^-2) + (5^log 2 x (2^3)^log (5^3)) - (3^-3)^log (3^2)
=-2 + (5^log 2 x 3/3 2^log5)- (-2/3 3^log 3)
=-2+(5^log 2 x 2^log 5) + 2/3 3^log3
=-2 + 5^log5 + 2/3.1
=-2 + 1 + 2/3
=-6/3 + 3/3 + 2/3
= -1/3
Jadi, hasil dari 7^log 1/49 + 5^log 2 × 8^log 125 - 1/27^log 9 adalah -1/3.
no 3 yg a dan b ada di gambar
4 a. Jawaban:
² log 49
²log7²
2 ²log 7
16 log 7 =p
2⁴ log 7 =p
1/4 ²log 7 = p
Penjelasan dengan langkah-langkah:
²log 7= 4p
maka
2(4p)
= 8p ✓
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Jawaban:
1. a. 3 log 729
= 3 log 3⁶
= 3
b. ^(1/5) log 25√(5)
= ^(1/5) log 25.(5^(1/2))
= ^(1/5) log 25 + ^(1/5) log 5^(1/2)
= ^(5^-1) log 5^2 + ^(5^-1) log 5^(1/2)
= (2/-1)(^5 log 5) + (1/2 : -1)(^5 log 5)
= (-2)(1) + (-1/2)(1)
= -2 - 1/2
= -4/2 - 1/2
= -5/2
Jadi, nilai dari ^(1/5) log 25√(5) adalah -5/2.
2. a. 3^log 25× 1/5^log 81- 8^log 1/64
=3^log (5^2) x (5^-1)^log (3^4) - (2^3)^log (2^-6)
=(2/1) 3^log5 x (-4/1) 5^log3 - (-6/3) 2^log2
=2 x (-4) x (3^log5 x 5^log3) + (2 x 1)
= -8 x (3^log5 x 5^log3) + (2 x 1)
= -8 x 3^log 3 + 2
= -8 x 1 + 2
= -6
b. 7^log 1/49 + 5^log 2 × 8^log 125 - 1/27^log 9
=7^log(7^-2) + (5^log 2 x (2^3)^log (5^3)) - (3^-3)^log (3^2)
=-2 + (5^log 2 x 3/3 2^log5)- (-2/3 3^log 3)
=-2+(5^log 2 x 2^log 5) + 2/3 3^log3
=-2 + 5^log5 + 2/3.1
=-2 + 1 + 2/3
=-6/3 + 3/3 + 2/3
= -1/3
Jadi, hasil dari 7^log 1/49 + 5^log 2 × 8^log 125 - 1/27^log 9 adalah -1/3.
no 3 yg a dan b ada di gambar
4 a. Jawaban:
² log 49
²log7²
2 ²log 7
16 log 7 =p
2⁴ log 7 =p
1/4 ²log 7 = p
Penjelasan dengan langkah-langkah:
²log 7= 4p
maka
2 ²log 7
2(4p)
= 8p ✓