Solve the equation log3x log3x 24 4Solutionlog3x log3x

Solution

log3x + log3(x - 24) = 4

Log Property : logA +logB = log(A*B)

log3(x(x-24)) =4

Log Property: logbA =x ---> A = b^x

(x(x- 24) = 3^4

x^2 -24x -81 =0

x = {24 +/- sqrt(24^2 +81*4)}/2

=( 24 +/- 30)/2

x= 27 , -3