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Exponential and Logarithmic Function Graphs

Referring to the graph below (which is attached), identify the graph that represents the corresponding function. I need to justify my answer.
y = 2^x
y = log2x (where the 2 is lower case below log, not above)then; x

Also, I need to plot the graphs of the following functions and show them.
f(x)=6^x
f(x)=3^x - 2
f(x)=(1/2)^x
f(x)= log2x (where the 2 is lower case below log, not above)then; x

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