LogAritma

Penjelasan dengan langkah-langkah:

1) log 300+log 9-Log 0,2=

= log 300 + log 9 - {log 2 -log 10}
= log 300 + log 9 - log 2 + log 10
= log {(300)(9)(10): 2}
= log 13.500
= log (135 x10²)
= 2+ log 135

2) ² log 16 -³ log 1/27 +⁵ log 1=

= ² log 2⁴ -³ log 3⁻³+ ⁵ log 1

= 4 - (-3) + 0
= 4 + 3
= 7

3) ²log 3 • ³ log 1/8 =

= ²log 3 • ³ log 2⁻³
= ²log 2⁻³
= -3

4) ⁸¹ log 27=

= ³^⁴log 3³
= ³/₄ ³log 3
= ³/₄

5) ³ log 5 • ⁵ log 2• ² log 81=

= ³ log  81
= ³ log  3⁴

= 4

6) ⁵log 16 • ² log 3 • ⁹ log 5=​

=  ⁹ log 5. ⁵log 16 • ² log 3

= ³^²log 5 . ⁵log 2⁴ • ² log 3

= (¹/₂). ³log 5 . (4). ⁵log 2 • ² log 3

= (¹/₂)(4) ³log 5  ⁵log 2 • ² log 3
= 2 . ³log 3
= 2(1)
= 2