Question 1: Find the solutions of the equation ln(x) + ln(x - 2) = ln(2x - 3).

x = 1 and x = 3

x = 3

x = 1

x = 3 and x = 6




Question 2: Find the solutions of the equation log₄(6x + 4) = 2.

x = 0

x = 1

x = 2

x = 3



Question 3: Find the solutions of the equation ln(x) + ln(x - 3) = ln(5x - 7).

x = 2

x = 1

x = 1 and x = 7

x = 7




Question 4: Find the solutions of the equation ln(x⁴) = (lnx)³

x = 1, x = e²

x = 1, x = e² and x = e^(-2)

x = 1

x = e² and x = e^(-2)




Question 5: Find the solutions of the equation 3^{3x + 3} = 33, writing your answer using natural logarithms.











Question 6: Find the solutions of the equation e^2x - 5e^x + 6 = 0, writing your answer using natural logarithms.

x = ln(3)

x = ln(2)

x = ln(2) and x = ln(3)

x = e²



Question 7: Find the solutions of the equation e^4x = 12, writing your answer using natural logarithms.











Question 8: Find the solutions of the equation xe^x - 3 = 3x - e^x, writing your answer using natural logarithms.

x = ln(3)

x = ln(3) and x = -1

x = 2e

x = ln(5)






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