Question 452420
{{{4^(2x)=(1/64)}}}
64 = 4^3, therefore we can write it:
{{{4^(2x)=(1/4^3)}}}
the reciprocal
{{{4^(2x)=4^(-3)}}}
therefore
2x = -3
x = {{{(-3)/2}}}
x = -1.5
:
:
Check this
{{{4^(2*-1.5)=(1/64)}}}
{{{4^-3=(1/64)}}}