Question

Tlg no 6,7,9,10 y... makasih

Answer 1

6. 4log15 = 1/2 × 2log15 = 1/2 × (2log5+2log3)
1/2(3log5/3log2 + x)
1/2(y × 2log3 + x)
1/2 (xy+x) = x/2 (y+1)

7. 2loga+2logb = 12
2logab = 2log2^12
2loga-2logb = 4
2loga/b =2log2^4
ab= 2^12 --> b.b.2^4 = 2^12
b^2 = 2^8
b= 2^4
a/b = 2^4 --> a= b × 2^4 = 2^8
a+b = 2^4 + 2^8 = 272
9. (5^1/2)log6 = 2× 5log6
10. 3loga + 3logb = 8
3logab = 8
3logab=3log3^8
ab = 3^8
3× 3loga-3logb= 4
3loga^3 - 3logb = 4
3loga^3/b = 3log3^4
a^3 / b = 3^4
a^3 = b × 3^4
a = (b^1/3 ×3^4/3)
b. b^1/3 × 3^4/3 = 3^8
b^4/3 × 3^4/3 = 3^8
b^4/3 = 3^20/3
b =( 3^20/3)^3/4 = 3^5
a =(3^5)^1/3 × 3^4/3
= 3^5/3 × 3^4/3 = 3^9/3 = 3^3