Question 951400
{{{4^(n-2)=3}}}
ln each side.
{{{ln(4^(n-2))=ln(3)}}}
use the exponent rule to bring the exponent in front of the ln.
{{{(n-2)ln(4)=ln(3)}}}
solve for n
{{{((n-2)ln(4)/ln(4))=(ln(3)/ln(4))}}}
{{{n-2=.7925}}}
{{{n-2+2=.7925+2}}}
{{{n=2.7925}}}
The answer is 2.7925