If `log_30 3 = x, log_30 5 = y, then log_30 8 =`

STATEMENT-1 : Number of solution of log |x| = theta^(x) is two and STATEMENT-2 : If log_(30) 3 - a , log_(30) 5 = b "then" log_(30) 8 = 3 (1 - a - b) .

If log_(4)5 = x and log_(5)6 = y then

If "log"_(4) 5 = x " and log"_(5) 6 = y, " then log"_(2) 3 is equal to

If log_(a)3 = 2 and log_(b)8= 3 , then log_(a)(b) is-

If log_y x +log_x y=7, then the value of (log_y x)^2+(log_x y)^2, is

State, true or false : (i) If log_(10)x = a , then 10^(x) = a (ii) If x^(y) = z , then y = log_(z) x . (iii) log_(2) 8 = 3 and log_(8) 2 = (1)/(3) .

If log_2 (log_2 (log_3 x)) = log_2 (log_3 (log_2 y))=0 , then the value of (x+y) is

If log_(a)5=x and log_(a)7=y , then log_(a)sqrt(1,4)=

Solve for x, y , z . log_2 x + log_4 y + log_4 z =2 log_3 y + log_9 z + log_9 x =2 log_4 z + log_16 x + log_16 y =2