Matematika logaritma

Posted on

Penjelasan dengan langkah-langkah:

a.

3⁴ = 81

³log 3⁴ = ³log 81

4. ³log 3 = ³log 81

4 = ³log 81

b.

2⁴ = 16

²log 2⁴ = ²log 16

4. ²log 2 = ²log 16

4 = ²log 16

==============================

a.

²log 16 + ³log 81

= ²log 2⁴ + ³log 3⁴

= 4.²log 2 + 4. ³log 3

= 4 + 4

= 8

b.

²log (1/16) + ³log (1/81)

= ²log 2-⁴ + ³log 3-⁴

= -4. ²log 2 + (-4). ³log 3

= -4 – 4

= -8

c.

√³ log 27 +√² log 32

= √³ log (3)³ + √² log (2)⁵

= √³ log (√3)⁶ + √² log (√2)¹⁰

= 6 + 10

= 16

d.

²⁵log 125 + ⁹log 27

= ⁵^² log 5³ + ³^² log 3³

= 3/2 ⁵log 5 + 3/2 ³log 3

= 3/2 + 3/2

= 6/2

= 3

catatan:

⁵^² = 5 pangkat 2

³^² = 3 pangkat 2

Leave a Reply

Your email address will not be published. Required fields are marked *

Matematika logaritma

Posted on

Penjelasan dengan langkah-langkah:

a.

3⁴ = 81

³log 3⁴ = ³log 81

4. ³log 3 = ³log 81

4 = ³log 81

b.

2⁴ = 16

²log 2⁴ = ²log 16

4. ²log 2 = ²log 16

4 = ²log 16

==============================

a.

²log 16 + ³log 81

= ²log 2⁴ + ³log 3⁴

= 4.²log 2 + 4. ³log 3

= 4 + 4

= 8

b.

²log (1/16) + ³log (1/81)

= ²log 2-⁴ + ³log 3-⁴

= -4. ²log 2 + (-4). ³log 3

= -4 – 4

= -8

c.

√³ log 27 +√² log 32

= √³ log (3)³ + √² log (2)⁵

= √³ log (√3)⁶ + √² log (√2)¹⁰

= 6 + 10

= 16

d.

²⁵log 125 + ⁹log 27

= ⁵^² log 5³ + ³^² log 3³

= 3/2 ⁵log 5 + 3/2 ³log 3

= 3/2 + 3/2

= 6/2

= 3

catatan:

⁵^² = 5 pangkat 2

³^² = 3 pangkat 2

Leave a Reply

Your email address will not be published. Required fields are marked *

Matematika logaritma

Posted on

Penjelasan dengan langkah-langkah:

a.

3⁴ = 81

³log 3⁴ = ³log 81

4. ³log 3 = ³log 81

4 = ³log 81

b.

2⁴ = 16

²log 2⁴ = ²log 16

4. ²log 2 = ²log 16

4 = ²log 16

==============================

a.

²log 16 + ³log 81

= ²log 2⁴ + ³log 3⁴

= 4.²log 2 + 4. ³log 3

= 4 + 4

= 8

b.

²log (1/16) + ³log (1/81)

= ²log 2-⁴ + ³log 3-⁴

= -4. ²log 2 + (-4). ³log 3

= -4 – 4

= -8

c.

√³ log 27 +√² log 32

= √³ log (3)³ + √² log (2)⁵

= √³ log (√3)⁶ + √² log (√2)¹⁰

= 6 + 10

= 16

d.

²⁵log 125 + ⁹log 27

= ⁵^² log 5³ + ³^² log 3³

= 3/2 ⁵log 5 + 3/2 ³log 3

= 3/2 + 3/2

= 6/2

= 3

catatan:

⁵^² = 5 pangkat 2

³^² = 3 pangkat 2

Leave a Reply

Your email address will not be published. Required fields are marked *

Matematika logaritma

Posted on

Penjelasan dengan langkah-langkah:

a.

3⁴ = 81

³log 3⁴ = ³log 81

4. ³log 3 = ³log 81

4 = ³log 81

b.

2⁴ = 16

²log 2⁴ = ²log 16

4. ²log 2 = ²log 16

4 = ²log 16

==============================

a.

²log 16 + ³log 81

= ²log 2⁴ + ³log 3⁴

= 4.²log 2 + 4. ³log 3

= 4 + 4

= 8

b.

²log (1/16) + ³log (1/81)

= ²log 2-⁴ + ³log 3-⁴

= -4. ²log 2 + (-4). ³log 3

= -4 – 4

= -8

c.

√³ log 27 +√² log 32

= √³ log (3)³ + √² log (2)⁵

= √³ log (√3)⁶ + √² log (√2)¹⁰

= 6 + 10

= 16

d.

²⁵log 125 + ⁹log 27

= ⁵^² log 5³ + ³^² log 3³

= 3/2 ⁵log 5 + 3/2 ³log 3

= 3/2 + 3/2

= 6/2

= 3

catatan:

⁵^² = 5 pangkat 2

³^² = 3 pangkat 2

Leave a Reply

Your email address will not be published. Required fields are marked *