Question 749673
You need to follow 2 general rules
(1) {{{ log(( a*b )) = log(a) + log(b) }}}
(2) {{{ log(( a/b )) = log(a) - log(b) }}}
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(a)
{{{ log( 6 ) = log( 2*3 ) }}}
{{{ log(( 2*3 )) = log( 2 ) + log( 3 ) }}}
{{{ log( 2 ) + log( 3 ) = .301 + .4771 }}}
{{{ log( 6 ) = .7781 }}}
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(b)
{{{ log( 1.5 ) = log(( 3/2 )) }}}
{{{ log(( 3/2 )) = log( 3 ) - log( 2 ) }}}
{{{ log( 3 ) - log( 2 ) = .4771 - .301 }}}
{{{ log( 1.5 ) = .1761 }}}
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(c)
{{{ log(( 1/2 )) = log( 1 ) - log( 2 ) }}}
{{{ log(1) - log( 2 ) = 0 - .301 }}}
{{{ log(( 1/2 )) = -.301 }}}
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Note that {{{ a^0 = 1 }}} for any value of {{{ a }}},
so {{{ log( a, 1 ) = 0 }}} for any value of {{{ a }}}