1. Tentukan nilai dari a. ² log 288 b. ² log 243 2. Jika ² log 3 = a dan 5 log 3 = b Tentukan : a. 15 log 30 b. 20 log 36 3. Tentukan x jika a. 2 log (3x-5) = 3

1. a. ²log288 = ²log(32 x 9) = 5 + ²log3²
b. ²log243 = ²log3^5 = 5 ²log3

2. a. 15log30 = ³log(2x3x5)/³log(3x5)
= (1/a + 1 + 1/b)/(1 + 1/b)
= (b + ab + a)/b x b/(b+1)
= ( a + ab + b)/(b + 1)

b. 20log36 = ³log(2²x3²)/³log(2²x5)
= (2/a + 2a/a)/(2b/ab + a/ab)
= (2+2a)/a x ab/(a+2b)
= (2b+2ab)/(a+2b)

3. a. 3x-5 = 8
x = 13/3 = 4⅓

b. x²-x = 0
x(x-1) = 0
x = 1

c. x+5 = 15.625
x = 15.620