If `a^4b^5=1` then the value of `log_a(a^5b^4)` equals

If a^(4)b^(5)=1 then the value of log_(a)(a^(5)b^(4)) equals

If a^(3)-b^(3)=0 then the value of log(a+b)-(1)/(2)(log a+log b+log3) is equal to

If a^(3)-b^(3)=0 then the value of log(a+b)-(1)/(2)(log a+log b+log3) is equal to

If a^(3)-b^(3)=0 then the value of log(a+b)-(1)/(2)(log a+log b+log3) is equal to

If a/b=4/3, then the value of (6a+4b)/(6a-5b) is -1 (b) 3 (c) 4 (d) 5

A circle has radius log_(10)(a^(2)) and a circumference of log_(10)(b^(4)) . Then the value of log_(a)b is equal to :

If the equation (log_(12)(log_(8)(log_(4)x)))/(log_(5)(log_(4)(log_(y)(log_(2)x))))=0 has a solution for 'x' when c lt y lt b, y ne a , where 'b' is as large as possible, then the value of (a+b+c) is equals to :

Three numbers a, b and c are in geometric progression. If 4a, 5b and 4c are in arithmetic progression and a+b+c=70 , then the value of |c-a| is equal to

If (a^(log_b x))^2-5 a^(log_b x)+6=0, where a >0, b >0 & a b!=1, then the value of x can be equal to (a) 2^(log_b a) (b) 3^(log_a b) (c) b^(log_a2) (d) a^(log_b3)