Question

Jika 2 log 5 =a dan 7 log 2= b maka 35 log 98 = ?

Answer 1

Dengan:
²log 5 = a
log 5/log 2 = a
Dan,
⁷log 2 = b
²log 7 = 1/b

Alternatif:
⁷log 5 = ab
Maka,

³⁵log 98
³⁵log(49 x 2)
³⁵log 49 + ³⁵log 2
2 x ³⁵log 7 + 1/²log 35
2/⁷log 35 + 1/(²log 7 + ²log 5)
2/(⁷log 7 + ⁷log 5) + 1/(1/b + a)
2/(1+ab) + 1/(1+ab)/b
2/(1+ab) + b/(1+ab)
(b+2)/(ab+1)