Question 46800
{{{(4^(5-3x))=1/256)}}}
{{{(4^(5-3x))=(1/4^4))}}}
{{{(4^(5-3x))=(4^-4))}}}
{{{(4^(5-3x+4))=(4^(-4+4))}}}
{{{(4^(9-3x))=(4^0))}}}
{{{(4^(9-3x))=1)}}} 
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Working within the exponent:
Solve 9-3x=0
-3x=-9
x=3
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Plug-in (x=3) back into the original equation and solve:
{{{(4^(5-3x))=1/256)}}}
{{{(4^(5-(3)(3)))=1/256)}}}
{{{(4^(5-9))= 4^-4)}}}
{{{(4^(-4))= (4^-4)}}}[Checks out]