LOGARITMA - Universityku

$sf1) : { : }^{3} log5 times { : }^{5} log27$
$sf2) { : }^{5} log25 : + : { : }^{5} log625$
$sf : bonus : - - - - - - - - - - - -$
$sf3) { : }^{5} log {5}^{12} + { : }^{3} log {3}^{2} + { : }^{12} log {12}^{5}$

LOGARITMA

1.) ³log5 × ⁵log27

= ³log27

= ³log3³

= 3 × ³log3

= 3 × 1

= 3

2.) ⁵log25 + ⁵log625

= ⁵log5² + ⁵log5⁴

= (2 × ⁵log5) + (4 × ⁵log5)

= (2 × 1) + (4 × 1)

= 2 + 4

= 6

3.) ⁵log5¹² + ³log3² + ¹²log12⁵

= (12 × ⁵log5) + (2 × ³log3) + (5 × ¹²log12)

= (12 × 1) + (2 × 1) + (5 × 1)

= 12 + 2 + 5

= 14 + 5

= 19

1). ³log5 × ⁵log27

= ³log5 × ⁵3log3

= 1 × 3

= 3

2). ⁵log25 + ⁵log625

= ⁵log5² + ⁵log5⁴

= 2 + 4

= 6

3). ⁵log5¹² + ³log3² + ¹²log12⁵

= 12 + 2 + 5

= 12 + 7

= 19