Let x be the number of years after 2020 such that the population of frogs doubles its number, then we can set the following equation:

Substituting P(x)=360(1.1)^x we get:

Dividing the above equation by 360 we get:

Now, applying the natural logarithm we get:

Dividing the above equation by ln1.1 we get:

Simplifying the above result we get:

Therefore, during the year 2027, the population of frogs will double its number.
Answer: 2027.