Sperogen

A.log𝑥 B.1 C.0 D.12log𝑥 E.2

1. Solve the inequality xlog100.1>log1010.
   A. x<-1 B. x<1 C. x>1 D. x>100 E. x>-1
2. If log𝑝+𝑞= log𝑝−log𝑞 , then p=……….
   A. p=q=1 B. p=𝑞1−𝑞 C. p=𝑞21−𝑞 D. p= 𝑞1+𝑞 E. p=𝑞21+𝑞
   25.If log𝑎=5, log𝑏 =3, then the value of 𝑎𝑏 is
   A. 53 B. 2 C. 8 D. log53 E.100
3. Given that log𝑎2 =0.301 and log𝑎3 =0.477, then =……..
   A. 0.125 B. -0.125 C. 0.301 D. -1.125 E. 1.125
4. If 2log𝑝8−log𝑝4=2, then p=……….
   A. 4 B. -4 C. 4 (or) 2 D. 4 (or) -4 E. 2
5. log19𝑥−1𝑥+2 = 12; x=………
   A. 12 B. 32 C. 52 D. 72 E. 92
6. log39𝑥−22= x+2 ; x=…………
   A. log113 B. log311 C.log3 D.log11 E. 0
   30.If log2=m, log3=n, then log720 =……….
   A. m+n+1 B. 3m+n+1 C. 2m+3n+1 D. 3m+2n+1 E. 3m+2n-1
7. log29 =a , log26=………..
   A. 1𝑎+2 B.𝑎+22 C. -a D. a+12 E. 2a
8. log0.040.4=…….
   A. -3 B. -2 C. -1 D. 1 E.4
9. log55+log31+log416=…….
   A. 0 B. 1 C. 2 D. 3 E.4
10. If log2.7 =0.431 , then log2.7 =………
    A.1 .431 B.-0.215 C.0.2155 D. 0.8