Question

If log3 x + log3 y = 2 + log3 2 and log3 (x + y) = 2 then

Solution

Correct option is

x = 3, y = 6

The first equation can be written as

       

so xy = 18 and second equation is x + y = 32 = 9. Solving we get x = 3, y = 6 or x = 6, y = 3.

SIMILAR QUESTIONS

Q1

Solution set of the inequality

               

Q2

The value of x satisfying 

Q3

The solution of the equation

             is

Q4

The set of all x satisfying the equation 

Q5

The set of all solutions of the inequality  contains the sets

Q6

The set of all the solutions of the inequality 

           

Q7

The set of all solutions of the equation 

 

                                                                                           

Q8

 then the value of log30 8

Q9

 then the value of ab + 5(a – b) is