Question 966659
{{{ log( x^2 + 7x ) = log( 18 ) }}}
What you need here is the general rule:
If {{{ log((a)) = log((b)) }}}
Then, {{{ a=b }}}
{{{ x^2 + 7x = 18 }}}
{{{ x^2 + 7x - 18 = 0 }}}
{{{ ( x + 9 )*( x - 2 ) = 0 }}}
{{{ x = -9 }}}
{{{ x = 2 }}}
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check answers:
{{{ log( x^2 + 7x ) = log( 18 ) }}}
{{{ log( (-9)^2 + 7*(-9) ) = log( 18 ) }}}
{{{ log( 81 - 63 ) = log( 18 ) }}}
{{{ log( 18 ) = log( 18 ) }}}
You can check other solution, {{{ x = 2 }}}