Diketahui ³Log7=a dan ²Log3=b Nilai 7Log48=. . .

Mapel Matematika
Bab Logaritma

3^log 7 = a
2^log 3 = b

7^log 48
= 3^log 7 / 3^log 48
= a / (3^log 3 + 3^log 2^4)
= a / (1 + 4(1/b)
= a / (1 + (4/b))
= a / ((b + 4)/b)
= ab / b+4

³log 7 = a
²log 3 = b

7log 48.......
= ³log 48 / ³log 7
= ( ³log 3 + ³log 16 ) / a
= ( 1 + ³log 2⁴ ) / a
= ( 1 + 4( 1 / b ) ) / a
= ( 1 + 4/b ) / a
= ( 1 + 4 ) / ab
= 5 / ab ✔️

Semoga bermanfaat.....
-Prisco