Question

Diketahui ² log 5 = a dan ³ log 2 = b. nilai dari pangkat 6 log 50 dalam a dan b adalah...

Answer 1

6 log 50 = log 50/ log 6
= 2log (5 x 5 x 2) per 2 log (3 x 2)
= 2log 5 + 2log 5 + 2log2 per 2log3 + 2log2
= a + a + 1 per 1/b + 1
= (2a + 1) x b per 1+1
= 2ab + b per 2
maaf ya kalau salah

Answer 2

2log5 = a
(log 2)/(log 5) = a
log 5 = (log 2) / a

3log2 = b
(log 3)/(log 2) = b
log 3 = b log 2

6log50 = (log 6)/(log 50)
= (log 2.3)/(log 2.5^2)
=( (log 2) + (log 3) ) / ( (log 2) + (log 5^2))
= ((log 2) + (b log 2))/((log2)+(2log5))
= ((log2)+(blog2))/((log2)+(2(log2)/a))
=( log2 (1+b) )/( log2 (1+(2/a))
= (1+b)/(1+(2/a))
= (1+b)/((a+2)/a)
= (a+ab)/(a+2)