Graphs of exponential and logarithmic functions

Question

Assignment:

Graphs of Exponential and Logarithmic Functions

Refer to the graph given below and identify the graph that represents the corresponding function.  Justify your answer.  
y = 2^x
y = log₂x

Plot the graphs of the following functions.   

1. f(x)=6^x
2. f(x)=3^{x - 2}
3. f(x)=(1/2)^x
4. f(x)= log₂x

Provide complete and step by step solution for the question and show calculations and use formulas.