Question 925852
{{{ 5*log( x - 2 ) = 11 }}}
Divide both sides by {{{ 5 }}}
{{{ log( x - 2 ) = 11/5 }}}
Rewrite this as an exponential equation
{{{ 10^(11/5) = x - 2 }}}
Add {{{2 }}} to both sides
{{{ x = 10^2.2 + 2 }}}
{{{ x = 158.489 + 2 }}}
{{{ x = 160.489 }}}
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check:
{{{ 5*log( 160.489 - 2 ) = 11 }}}
{{{ 5*log( 158.489 ) = 11 }}}
{{{ 5*2.2 = 11 }}}
{{{ 11 = 11 }}}
OK