Solution assignment 08 Logarithmic functions and graphs

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Assignment 8

Show the following relation:

x=b^{\log_b(x)}

Solution

We take the logarithm with base b of the left- and right-hand side:

\log_b(x)=\log_b(b^{\log_b(x)})=\log_b(x)\log_b(b)=\log_b(x)\cdot1=\log_b(x)

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