Question 36073
Recall that:{{{log(M)-log(N) = log(M/N)}}} and if {{{log(A) = log(B)}}} then {{{A = B}}} Applying these ideas to your problem:
{{{log((6x))-log((x+1)) = log((4))}}}
{{{log(((6x)/(x+1))) = log((4))}}}
{{{((6x)/(x+1)) = 4}}} Multiply both sides by (x+1)
{{{6x = 4(x+1)}}} Simplify.
{{{6x = 4x+4}}} Subtract 4x from both sides.
{{{2x = 4}}} Finally, divide both sides by 2.
{{{x = 2}}}