Question 702269
I think you meant:
{{{4=32^(1-2x)}}}
take log base 32 of both sides:
{{{log(32,4) = log(32,32^(1-2x))}}}
{{{log(32,4) = (1-2x)}}}
{{{log(4)/log(32) = 1-2x}}}
{{{0.4 = 1-2x}}}
{{{-0.6 = -2x}}}
{{{0.3 = x}}}
to 4 significant figures:
{{{0.3000 = x}}}