G9MathQ4001.1

9Math Q04-1001
Chapter 4
Logarithms

1. If the number 31200 is put in the form 3.12 ×10n, the value of n is
   A. 1 B. 2 C. 2 D. 4 E. 5
2. The scientific notation 3.5 ×103 multiplied by 3 is
   A. 1.05 ×102 B.1.05×1010 C. 1.05×103 D.1.05×109 E. 1.05×104
3. The scientific notation 8.2×10-4 + 5.4×10-4=………
   A.1.35×10-5 B. 1.36×10-4 C.1.36×10-3 D.1.36×10-7 E.1.36×103
4. Which of the following is (are) true?
   A.log(xy) =logx + logy B. logxn = n logx C. log101=0
   D.logxx=1 E.logxy= logx-logy
5. Which of the following is (are) true?
   1.logMlogN=logM-logN 2.log3M=3logM 3.logaM =2logaM
   A. 1 only B. 2 only C. 3 only D. 1 and only E. None of them
   6.Which of the following is (are) true?
   1. log4x=2log16x 2. logbx=3 logb3x 3. log416= log164
      A. 1only B. 2 only C. 3 only D. 1 and 2 only E. 1 and 3 only
6. 101+log103=……..
   A.3 B.30 C. 310 D.103 E.15
   8.4log23=……..
   A.3 B.-6 C.9 D.12 E.15
7. log35× log2527=………….
   A.32 B.23 C.527 D.325 E. 5×27
   10.If x=logba,y=logcb,z=logac, then xyz=…………
   A. 0 B. 1 C.-1 D. abc E. a+b+c
8. If log2=a, then =…….
   A.a2 B.2.5a C.1+a D.1-a E.12a
   12.If log2=a, log3=b, then log144=………….
   A. a4b2 B.4a+2b C.8ab D. a2b2 E. None of them
9. 3+log25=……..
   A.log240 B.log24 C.log2150 D. log215 E.log260
10. log0.01=………
    A. 2 B. -2 C.12 D.-12 E.0
11. log240+log20.1+log20.25=……….
    A. 0 B. 1 C.2 D. 3 E.4
12. log222=………
    A. 23 B.1 C.112 D.-32 E.-23
13. logx-22x2-10x+13 = 1; x=?
    A.-3 B.-52 C. 52 D. 25 E. 3 or52
14. If log2=m , then log85 =………
    A. 1-m3m B.13m C. 3-mm D. 1-m3 E.3-mm
    19.Solve logx×log12x+7 =1
    A. 13 (or) -23 B. 25 (or) 23 C.-54 D.23 E. 23 ( or) -54