The value of `3^((log)_4 5)-5^((log)_4 3)` is 0 (b) 1 (c) 2 (d) none of these

The value of 3^((log)_4 5)+4^((log)_5 3)-5^((log)_4 3)-3^((log)_5 4) is- a.0 b. 1 c.2 d. none of these

The value of 3^(log_4 5)+4^(log_5 3)-5^(log_4 3)-3^(log_5 4)=

If p>1 and q>1 are such that log(p+q)=log p+log q ,then the value of log(p-1)+log(q-1) is equal to (a)0(b)1 (c) 2(d) none of these

If a,b,c,d in R^(+-){1}, then the minimum value of (log)_(d)a+(log)_(b)d+(log)_(a)c+(log)_(c)b is (a)4(b)2(c)1( d) none of these

int_2^4 log[x]dx is (A) log2 (B) log3 (C) log5 (D) none of these

Largest integral value satisfying log_(x)2log_(2x)2log_(2)4x>1 is (A)4(B)3(C)2 (D) None of these

If (log)_e4=1. 3868 , then (log)_e 4.01= (a) 1.3968 (b) 1.3898 (c) 1.3893 (d) none of these

If (log)_(10)5=aand(log)_(10)3=b, then (A)(log)_(30)8=(3(1-a))/(b+1)(B)(log)_(40)15=(a+b)/(3-2a)(C)(log)_(243)32=(1-a)/(b) (d) none of these

((log)_(5)3)xx((log)_(3)625) equals 1 b.2 c.3 d.4

The value of the integral int_(0)^(oo)(x log x)/((1+x^(2))^(2))dx is 0(b)log7(c)5log13(d) none of these