Question 867028
The key to solving this is to
recognize that {{{ 6 = log(( 1000000 )) }}}
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{{{ log(4) + 2*log(x) = log(( 1000000 )) }}}
{{{ 2*log(x) = log(( 1000000 )) - log(4) }}}
{{{ log((x^2)) = log(( 10^6/4 )) }}}
{{{ x^2 = 10^6/4 }}}
{{{ x = 10^3/2 }}}
{{{ x = 500 }}}
( note that {{{ -500 }}} does not work because
{{{ 2*log(( -500 )) }}} makes no sense )
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You can check the answer with a calculator:
{{{ log(4) + 2*log(x) = 6 }}}
{{{ .60206 + 2*log(x) = 6 }}}
{{{ 2*log(x) = 6 - .60206 }}}
{{{ 2*log(x) = 5.39794 }}}
{{{ log(x) = 2.69897 }}}
{{{ x = 10^2.69897 }}}
{{{ x = 499.999995 }}}
close enough