Question 859252
{{{ 225 = ( 1 + .05 )^( x/.05 ) ) = 300000 }}}
Divide both sides by {{{ 225 }}}
{{{  ( 1 + .05 )^( x/.05 ) ) = 1333.333 }}}
Take the log of both sides
{{{ ( x/.05 )*log( 1.05 ) = log( 1333.333 ) }}}
{{{ .0211893* ( x/.05 ) = 3.12494 }}}
{{{ x/.05 = 147.4772 }}}
{{{ x = 7.37386 }}}
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check:
{{{ x/.05 = 147.4772 }}}
{{{ 1.05^147.4772 = 1333.3326 }}}
{{{ 225*1333.3326 = 299999.835 }}}
{{{ 300000 - 299999.835 = .165 }}}
close enough