Find the sum and product of all possibl...

Find the sum and product of all possible values of x which makes the following statement true.
`log_(6)54+log_x16=log_sqrt2x-log_36(4/9)` .

Verified by Experts

The correct Answer is:

Sum=`9/2`, product=2

Similar Questions

Explore conceptually related problems

Solve the following equations. (iv) log_4log_3log_2x=0

Solve the following inequation . (xii) (log_2x)^2+3log_2xge5/2log_(4sqrt2)16

Solve the following equations. (vi) log_3(log_9x+1/2+9^x)=2x

Solve the following inequation . (xvi) log_4{14+log_6(x^2-64)}le2

The solution set of log_(x)2 log_(2x)2 = log_(4x) 2 is :

Differentiate the following w.r.t.x. log_(10)x+log_(x)10+log_(x)x+log_(10)10

Solve the following equations. (iii) 2.x^(log_(4)3)+3^(log_4x)=27

Find the number of real values of x satisfying the equation. log_(2)(4^(x+1)+4)*log_(2)(4^(x)+1)=log_(1//sqrt(2)) sqrt((1)/(8))

Find the value of the following log_(9) 27

If log_(4)2+log_(4)4+log_(4)x+log_(4)16=6 then x =