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3 B.-6 C.9 D.12 E.15
- log_35× log_2527=………….
A.3/2 B.2/3 C.5/27 D.3/25 E. 5×27
10.If x=log_ba,y=log_cb,z=log_ac, then xyz=…………
A. 0 B. 1 C.-1 D. abc E. a+b+c - If log2=a, then =…….
A.a^2 B.2.5a C.1+a D.1-a E.1/2 a
12.If log2=a, log3=b, then log144=………….
A. a^4 b^2 B.4a+2b C.8ab D. a^2 b^2 E. None of them - 3+log_25=……..
A.log_240 B.log_24 C.log_2150 D. log_215 E.log_260 - log0.01=………
A. 2 B. -2 C.1/2 D.-1/2 E.0 - log_240+log_20.1+log_20.25=……….
A. 0 B. 1 C.2 D. 3 E.4 - log_2〖2√2〗=………
A. 2/3 B.1 C.1 1/2 D.-3/2 E.-2/3 - log_(x-2)(2x^2-10x+13) = 1; x=?
A.-3 B.-5/2 C. 5/2 D. 2/5 E. 3 or5/2 - If log2=m , then log_85 =………
A. (1-m)/3m B.1/3m C. (3-m)/m D. (1-m)^3 E.(3-m)/m
19.Solve logx×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_10x<0 , then
A. x<0 B.-1<x<0 C. -1<x<1 D. 0<x<1 E. x>1
- If log_10x=0.35, then log_10√x=……….
A. -1.75 B.-0.175 C. 0.175 D. 3.5 E. 0.7 - Simplify (log√x+log〖x^(3/2) 〗)/(4 log√x )
A.logx B.1 C.0 D.1/2 logx E.2 - Solve the inequality xlog_100.1>log_1010.
A. x<-1 B. x<1 C. x>1 D. x>100 E. x>-1 - If log(p+q)= logp-logq , 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 loga=5, logb =3, then the value of a/b is
A. 5/3 B. 2 C. 8 D. log〖5/3〗 E.100 - Given that log_a2 =0.301 and log_a3 =0.477, then =……..
A. 0.125 B. -0.125 C. 0.301 D. -1.125 E. 1.125 - If 2log_p8-log_p4=2, then p=……….
A. 4 B. -4 C. 4 (or) 2 D. 4 (or) -4 E. 2 - 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 - log_3(9^x-22)= x+2 ; x=…………
A. log_113 B. log_311 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 - log_29 =a , log_26=………..
A. 1/(a+2) B.(a+2)/2 C. -a D. a+1/2 E. 2a - log(0.04/0.4)=…….