Question 703928
{{{ 3^( 12 - x ) = 729 }}}
Take the log to the base {{{ 3 }}} of both sides
{{{ log( 3, 3^( 12-x ) ) = log( 3, 729 ) }}}
{{{ 12 - x = log( 3,729 ) }}}
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Make an equation out of the right side
{{{ y = log( 3,729 ) }}}
Rewrite it as:
{{{ 3^y = 729 }}}
{{{ 3^y = 3^6 }}}
{{{ y = 6 }}}, so
{{{ 12 - x = 6 }}}
{{{ x = 6 }}}
check the answer:
{{{ 3^( 12 - x ) = 729 }}}
{{{ 3^( 12 - 6 ) = 729 }}}
{{{ 3^6 = 729 }}}
OK
This is just one of many approaches