$\"\"$

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The logarithmic functions are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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Change of base formula : $\"\"$ .

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Rewrite the functions using above formula.

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Consider $\"\"$ .

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Rewrite the function.

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$\"\"$

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Consider $\"\"$ .

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Rewrite the function.

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$\"\"$

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Consider $\"\"$ .

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Rewrite the function.

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$\"\"$

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$\"\"$

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Graph:

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Graph the functions $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph :

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Since the functions in the form of $\"\"$ where $\"\"$ , the graphs stretch graph of the function $\"\"$ vertically by a factor $\"\"$ .

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All the graphs are passing through the point $\"\"$ and all are increasing.

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Greater the base of the function, slower the rate of increase.

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$\"\"$

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Graph:

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$\"\"$

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All the graphs are passing through the point $\"\"$ and all are increasing.

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Greater the base of the function, slower the rate of increase.