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Solution assignment 01 Logarithmic functions and graphs
Solution assignment 02 Logarithmic functions and graphs
Solution assignment 03 Logarithmic functions and graphs
Solution assignment 04 Logarithmic functions and graphs
Solution assignment 05 Logarithmic functions and graphs
Solution assignment 06 Logarithmic functions and graphs
Solution assignment 07 Logarithmic functions and graphs
Solution assignment 08 Logarithmic functions and graphs
Solution assignment 09 Logarithmic functions and graphs
Solution assignment 10 Logarithmic functions and graphs

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Solution assignment 02 Logarithmic functions and graphs

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Assignment 2

Calculate:

$\log(1000)$

$\log(0.01)$

$\ln(e^3)$

Solution

We use the definition of the logarithm:

$\log(1000)=y\Longleftrightarrow 10^y=10^3\Rightarrow y=3$

$\log(0.01)=y\Longleftrightarrow 10^y=0.01=10^{-2}\Rightarrow y=-2$

$\ln(e^3)=y\Longleftrightarrow e^y=e^3\Rightarrow y=3$

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