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Limit of the line of a log |
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Definition
If a>0 and b>1, the function y=abx represents a |
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If a.0 and 0<b<1, the function y=abx represents a |
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Porperty of Inequality for Exponetial functions |
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Definition
if and only if x<yIf b.1, then bx>by if and only if x>y, and bx<by if and only if x<y |
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Logrithmic to Exponetial Inequalities |
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Definition
If b>1, x>0, and x>y, then x>by |
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porperty of Inequality for Logrithmic functions |
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If b is a positive number than 1 logb x=logby and only if x=y |
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Property of Inequality for Logarithmic Functions |
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Definition
If b>1, then logb x>logb y if and only if x.y, and logbx<logby if and only if x,y |
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Porduct Property of Logrithims |
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The Logrithims of a product is the sum of the logrithims of its factor |
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Quotient Porperty of Logrithims |
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The Logrithm of a quotient is the difference of the logrithms of the numerator and the denominater |
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Power Property of Logarithms |
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The Logrithm of a power is the product of the logarithm and the exponet |
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Definition
For all psitive numbers a, b, and n, where a≠1 and b ≠ 1 |
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