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Question

Simplify: log7033+log22135-log718


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Solution

Simplify the equation.

log7033+log22135-log718=log7033×22135-log718loga+logb=log(ab),loga-logb=logab=log70×22×1833×135×7=log89=log8-log9=log23-log32=3log2-2log3

Hence, log7033+log22135-log718 can be written as 3log2-2log3.


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