SOLUTION: use logarithm laws to simplify {{{ 3log( a, 4a ) }}} - {{{ 2log( a, 4a^2 ) }}}

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Question 111788: use logarithm laws to simplify
+3log%28+a%2C+4a+%29+ - +2log%28+a%2C+4a%5E2+%29+



Answer by nihat(10) About Me  (Show Source):
You can put this solution on YOUR website!
+3log%28+a%2C+4a+%29+ - +2log%28+a%2C+4a%5E2+%29+
= +log%28+a%2C+%284a%29%5E3+%29+ - +log%28+a%2C+%284a%5E2%29%5E2+%29+
= +log%28+a%2C+4%5E3%2Aa%5E3+%29+ - +log%28+a%2C+4%5E2%2Aa%5E%282%2B2%29+%29+
= +log%28+a%2C+4%5E3%2Aa%5E3+%29+ - +log%28+a%2C+4%5E2%2Aa%5E%284%29+%29+
= +log%28+a%2C+%284%5E3%2Aa%5E3%29%2F%284%5E2%2Aa%5E%284%29%29+%29+
= +log%28+a%2C+4%2Fa+%29+
= +log%28+a%2C+4+%29+ - +log%28+a%2C+a+%29+
= +log%28+a%2C+4+%29+ - 1