Question

Solve the equation.
http://www.webassign.net/latexImages/d/1/2d8e9ce9d8b900339047f4e90f7038.gif

Answer 1

so first i multiply (x-7) and (x-4), right?

Answer 2

log(x-4)+log(x-7)=log(x-4)(x-7)=log(x^2-11x+28)=1=log10
x^2-11x+28=10
x^2-11x+18=0
(x-9)(x-2)=0
x=9 and x=2
x=2 is not a good solution as log(2-4)=log-2 that is outside the domain of log
So the only good solution is x=9