Solve the equation log3xlog3x244 Check the solutionSolutionl

Solve the equation. log₃x+log₃(x-24)=4 Check the solution.

log3(x) + log3( x-24) = 5

log3(x(x-24)) = 5

x(x-24) = 3^5

solve the quadratic equation for x:

x^2 - 24x - 243 =0

x = 34.068 , -10.068

Solution x= 34.068 as x <0 does not lie in the domain of log3(x)

So, x= 34.068