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The logarithmic function to the base ... , where ... and ... , is defined by ... if and only if ... ; the domain is ... and the range is ... . Move the slider; the base of the logarithm changes and you see its graph swing around the point ... . Closely observe the two cases ... and ... . Also notice where the blue curve lies in relation to the common logarithm ... (base 10) and the natural logarithm ... .

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      EUN,LOM,LRE4,work-cmr-id:397276,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/SwingTheLogarithmicCurveAround10/,ilox,learning resource exchange,LRE metadata application profile,LRE

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