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Graphing Logarithmic Functions

a

The graph shows the function . We find by reading the -value from the graph when . Let's start from on the -axis and go up vertically to the graph. When we reach the curve, read of the corresponding -value on the -axis.

We can see that when Then

b

We should now decide which number should be the exponent of base to get Let's start from on the -axis and go horizontally out towards the graph. When you reach the graph, we find the corresponding -value on the -axis.

We conclude that , then