Question 757382
The rule is:
{{{ log(a) + log(b) = log(( a*b )) }}}
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You can see this very well if you use
logs to the base {{{ 10 }}}
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Suppose the equation is:
{{{ log( 10000 ) + log( 100000000 ) }}}
which is
{{{ log( 10^4 ) + log( 10^8 ) }}}
{{{ 4 + 8 = 12 }}}
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Applying the rule:
{{{ log( 10^4 ) + log( 10^8 ) = log(( 10^4 * 10^8 )) }}}
{{{ log( 10^4 * 10^8 ) = log( 10^12 ) }}}
and
{{{ log( 10^12 = 12 ) }}}
so, the rule works.
In words, the rule says, " Add the logs of 2 numbers 
and you will get the
same result if you multiply the 2 numbers 
themselves and then take the log of that product.
Hope this helps