Exponential & Logarithmic Functions Unit Teat

Answer 1

Question 1: Write down the equation of the exponential function, f(x) = 2^x, in logarithmic form.

Question 2: Solve the exponential equation 3^x = 27.

Question 3: Write down the equation of the logarithmic function, f(x) = log2(x), in exponential form.

Question 4: Solve the logarithmic equation log3(x) = 2.

Question 5: Sketch the graph of the exponential function f(x) = e^x and identify the asymptote.

Question 6: Sketch the graph of the logarithmic function f(x) = log4(x) and identify the domain and range.

Question 7: Solve the exponential equation e^x = 10.

Question 8: Solve the logarithmic equation log5(x) = 3.

Question 9: Determine the domain and range of the exponential function f(x) = 4^x.

Question 10: Determine the domain and range of the logarithmic function f(x) = ln(x).