Bab 5 Indeks & logaritma
INDICES AND LOGARITHMS
PAPER 1
1. Solve the equation 8x+1 = 15. [3 marks]
Answer : x = ……………………………
2. Solve the equation 4x = 32. [3 marks]
Answer : x = …………………………
3. Solve the equation [pic]. [3 marks]
Answer : x = …………………………
4. Solve the equation [pic]. [4 marks]
Answer : x = …………………………
5. Given that [pic], express y in terms of x. [3 marks]
Answer : y = …………………………
6. Solve the equation (5x+1)2 = [pic]. [3 marks]
Answer : x = …………………………
7. Solve the equation [pic]. [3 marks]
Answer : x = …………………………
8. Simplify log6 3 + log6 3 + log6 24. [3 marks]
Answer : ………………………………
9. Solve the equation [pic]. [3 marks]
Answer : x = …………………………
10. Given the equation log10 (2x +y) = 1 + log10(y – 5), express y in term of x.
[4 marks]
Answer : y = …………………………
11. Given that log4 T + log2 V = [pic], express T in terms of V. [4 marks]
Answer : T = ……………………
12. Solve the equation log y 34 = 6. [3 marks]
Answer : y = …………………………
13. Simplify 1 – 2 log5 25 + 3 log5 125. [3 marks]
Answer : ………………………………
14. Solve the equation log10( 2x + 6 ) = 1 + log10 ( x – 5). [3 marks]
Answer : x = …………………………
15. Solve the equation 4 log x 5 + 2 log x 3 – log x 375 = 4 and give your answer correct to the four significant figures. [3 marks]
Answer : x = …………………………
Answer
1. x = 0.302
2. x = [pic]
3. x = [pic]
4. x = 2, [pic]
5. x = –6, 3
6. x = [pic]
7. x = –0.5352
8. 3
9. x = [pic], –1
10 y = [pic]( x + 25)
11. T =[pic]
12. y = 1.8
13. 6
14. x = 7
15. x = 1.968
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