Question 267340
we start with
{{{log(2,(48x^3))-log(2,(12x^2))=8}}}    
step 1 - subtraction of logs means divide the terms as
{{{log(2,(48x^3)/(12x^2))=8}}}    
step 2 reduce the fraction to get
{{{log(2,(4x))=8}}}    
step 3 - rewrite using exponents as
{{{2^8 = 4x}}}
step 4 - divide to get
{{{x = 64}}}