geolo g7

3 B.-6 C.9 D.12 E.15

1. log_3⁡5× log_25⁡27=………….
   A.3/2 B.2/3 C.5/27 D.3/25 E. 5×27
   10.If x=log_b⁡a,y=log_c⁡b,z=log_a⁡c, then xyz=…………
   A. 0 B. 1 C.-1 D. abc E. a+b+c
2. If log⁡2=a, then =…….
   A.a^2 B.2.5a C.1+a D.1-a E.1/2 a
   12.If log⁡2=a, log⁡3=b, then log⁡144=………….
   A. a^4 b^2 B.4a+2b C.8ab D. a^2 b^2 E. None of them
3. 3+log_2⁡5=……..
   A.log_2⁡40 B.log_2⁡4 C.log_2⁡150 D. log_2⁡15 E.log_2⁡60
4. log⁡0.01=………
   A. 2 B. -2 C.1/2 D.-1/2 E.0
5. log_2⁡40+log_2⁡0.1+log_2⁡0.25=……….
   A. 0 B. 1 C.2 D. 3 E.4
6. log_2⁡〖2√2〗=………
   A. 2/3 B.1 C.1 1/2 D.-3/2 E.-2/3
7. log_(x-2)⁡(2x^2-10x+13) = 1; x=?
   A.-3 B.-5/2 C. 5/2 D. 2/5 E. 3 or5/2
8. If log⁡2=m , then log_8⁡5 =………
   A. (1-m)/3m B.1/3m C. (3-m)/m D. (1-m)^3 E.(3-m)/m
   19.Solve log⁡x×log⁡(12x+7) =1
   A. 1/3 (or) -2/3 B. 2/5 (or) 2/3 C.-5/4 D.2/3 E. 2/3 ( or) -5/4

20.If log_10⁡x<0 , then
A. x<0 B.-1<x<0 C. -1<x<1 D. 0<x<1 E. x>1

1. If log_10⁡x=0.35, then log_10⁡√x=……….
   A. -1.75 B.-0.175 C. 0.175 D. 3.5 E. 0.7
2. Simplify (log⁡√x+log⁡〖x^(3/2) 〗)/(4 log⁡√x )
   A.log⁡x B.1 C.0 D.1/2 log⁡x E.2
3. Solve the inequality xlog_10⁡0.1>log_10⁡10.
   A. x<-1 B. x<1 C. x>1 D. x>100 E. x>-1
4. If log⁡(p+q)= log⁡p-log⁡q , then p=……….
   A. p=q=1 B. p=q/(1-q) C. p=q^2/(1-q) D. p= q/(1+q) E. p=q^2/(1+q)
   25.If log⁡a=5, log⁡b =3, then the value of a/b is
   A. 5/3 B. 2 C. 8 D. log⁡〖5/3〗 E.100
5. Given that log_a⁡2 =0.301 and log_a⁡3 =0.477, then =……..
   A. 0.125 B. -0.125 C. 0.301 D. -1.125 E. 1.125
6. If 2log_p⁡8-log_p⁡4=2, then p=……….
   A. 4 B. -4 C. 4 (or) 2 D. 4 (or) -4 E. 2
7. log_(1/9)⁡((x-1)/(x+2)) = 1/2; x=………
   A. 1/2 B. 3/2 C. 5/2 D. 7/2 E. 9/2
8. log_3⁡(9^x-22)= x+2 ; x=…………
   A. log_11⁡3 B. log_3⁡11 C.log⁡3 D.log⁡11 E. 0
   30.If log⁡2=m, log⁡3=n, then log⁡720 =……….
   A. m+n+1 B. 3m+n+1 C. 2m+3n+1 D. 3m+2n+1 E. 3m+2n-1
9. log_2⁡9 =a , log_2⁡6=………..
   A. 1/(a+2) B.(a+2)/2 C. -a D. a+1/2 E. 2a
10. log⁡(0.04/0.4)=…….