Question 53296
You must be in a different time zone than I am.  I hope this gets to you in time.
{{{4^(x-1)*3^(x+2)=12^4}}}
{{{ln(4^(x-1)*3^(x+2))=ln(12^4)}}}
{{{ln(4^(x-1))+ln(3^(x+2))=ln(12^4)}}}
{{{(x-1)ln(4)+(x+2)ln(3)=ln(12^4)}}}
{{{xln(4)-ln(4)+xln(3)+2ln(3)=ln(12^4)}}}
{{{xln(4)-ln(4)+ln(4)+xln(3)+2ln(3)-2ln(3)=ln(12^4)+ln(4)-2ln(3)}}}
{{{xln(4)+xln(3)=ln(12^4)+ln(4)-ln(3^2)}}}
{{{x(ln(4)+ln(3))=ln(12^4*4/(3^2))}}}
{{{x(ln(4)+ln(3))=ln(9216)}}}
{{{x(ln(4)+ln(3))/(ln(4)+ln(3))=ln(9216)/(ln(4)+ln(3))}}}
{{{x=ln(9216)/(ln(4)+ln(3))}}}
{{{x=9.128696383/2.48490665}}}
x=3.673656646
Round it off to whatever your teacher wants.