Question 149753
{{{log(10,(x))+log(10,(2))=5}}} Start with the given equation.



{{{log(10,(2x))=5}}} Combine the logs using the identity {{{log(b,(A))+log(b,(B))=log(b,(A*B))}}}



{{{10^5=2x}}} Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{b^y=x}}}



{{{100000=2x}}} Raise 10 to the 5th power to get 100,000



{{{50000=x}}} Divide both sides by 2.



So the answer is {{{x=50000}}}