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consider the logarithmic equation shown on a screen how can we prove if this equation is true or not in order to prove this logarithmic equation we need to make either the left side equal to the right side or the right side equal to the left side either way we need to make sure that both sides are exactly the same so what Iamp;#39;m going to do in this example is Iamp;#39;m going to start working from the left side and Iamp;#39;m going to change it to the right side if Iamp;#39;m able to do that then this mathematical statement has been proven true so the first thing Iamp;#39;m going to do is use the change of Base formula now just to recap hereamp;#39;s the change of Base formula log base a of B is equal to log B over log a now notice that the new logs on the right side doesnamp;#39;t have a base so we can introduce a new base this could be base c c could be anything it could be five it could be eight it could be 10 it could be e or sometimes you could put nothing there if you