If `a^(2-x).b^(5x) = a^(x+3).b^(3x)`, then show that `x log (b/a) = 1/2 loga`.

If a^(3-x).b^(5x) = a^(5+x).b^(3x) , then show that x log (b/a) = log a .

If a^(2-x).b^(5x)=a^(x+3).b^(3x) , show that x log (b/a)=1/2log a

if a^(3-x)b^(5x)=a^(x+5)b^(3x), then the value of x log((b)/(a)) is : b (i) loga (ii) logb (iii) logx (iv) 1

If int(2x+5)/(5x+1)dx=ax+b log(5x+1)+c , then (a, b)-=

Q. If log_x a, a^(x/2) and log_b x are in G.P. then x is equal to (1) log_a(log_b a) (2) log_a(log_e a)+log_a log_b b (3) -log_a(log_a b) (4) none of these

Prove that (log_ab x)/(log_a x)=1+log_x b

Prove that log_a x.log_b y=log_b x.log_a y