Inflection points of a function

Hello I'm trying to calculate the Inflection points but I don't know if my procedure is correct... Can anyone help me ? This is the function -->> f='log(x+10).*sin(x-5)'

I do this:

if true
syms x;
der1= diff(log(x+10).*sin(x-5));
der2= diff(der1);
point =solve(der2);
end

I've any doubt :

1) It 's correct? 2) In the case that this procedure is correct: watch the graph function attached, I think that there are two Inflection points... how to calculate the other?

thanks in advance :) please be you clear