Can you please show me step by step exactly how you did this

Can you please show me step by step exactly how you did this question, i need to learn how to do it myself, and please show formulas use, thank you so much

What rate of interest with continuous compounding is equivalent to 15% per annum with monthly compounding?

Solution

e^r = (1 + r/12)¹²

e^r = (1 + 0.15/12)¹²

e^r = 1.0125¹²

e^r = 1.16075

r = ln(1.16075)

r = 0.1491, or 14.91% per annum.