Question 878646
{{{ 4^(5x) = 32 }}}
{{{ 4^(5x) = 4^(5/2) }}}
{{{ 5x = 5/2 }}}
{{{ x = 1/2 }}}
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The reason I know 
{{{ 32 = 4^( 5/2 ) }}} is
{{{ 32 = (4^(1/2))^5 }}}
{{{ 32 = 2^5 }}}
{{{ 32 = 32 }}}
OK