Question 130628
{{{4+3*log(2,(x))=7}}} Start with the given equation



{{{4+log(2,(x^3))=7}}} Rewrite the expression using the identity  {{{log(b,(x^y))=y*log(b,(x))}}}



{{{log(2,(x^3))=3}}} Subtract 4 from both sides



{{{2^3=x^3}}} Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{b^y=x}}}



{{{8=x^3}}}  Evaluate {{{2^3}}} to get {{{8}}}



{{{root(3,8)=x}}}  Take the cube root of both sides



{{{2=x}}}  Take the cube root of 8 to get 2



So our answer is {{{x=2}}}