`6-(1+4. 9^4-2log_7 3^3)*log_7x=log_x7, x in Q`

3(log_(7)x+log_(x)7)=10

x=log_(5)3+log_(7)5+log_(9)7

Solve 6(log_x2-log_4x)+7 = 0 .

A denotes the product xyz where x,y and z satisfy log_3 x= log5-log7 and log_5 y=log7-log 3 and log_7 z=log 3-log5 B denotes the sum of square of solution of the equation, log_2(log_2 x^6 - 3) - log_2(log_2 x^4 - 5) = log_2 3 C denotes characterstio of logarithm log_2 (log_2 3)-log_2 (log_4 3)+log_2(log_4 5)-log_2(log_6 5)+log_2 (log_6 7)-log_2 (log_6 3) The valuo of A+B+C is equal to

the value of log_3 4 *log_4 5* log_5 6*log_6 7 * log_7 8*log_8 9

If log_(3)27.log_x7=log_(27)x.log_(7)3 , the least value of x is

If log_(3)27.log_x7=log_(27)x.log_(7)3 , the least value of x is