Assume today is December 1st.

On Jun 1 Calvin had 5000 followers and the amount of followers he had doubled every 6 months. Today, he has 10000.

I began brilliant with one follower on Jun 1 and now I have 500 followers as the amount of followers I had has been multiplied by 500 every 6 months.

Assuming the rates at which we gain followers remains exactly constant, how many days after Dec. 1 will it be before I have as many followers as Calvin? Answer to two decimal places.

Assume:

All months have 30 days

You may use a computer software

Logic does not apply (by this I mean exclude the fact that I probably will never have as many followers as Calvin, base your calculations explicitly off of the information given)

The answer is 97.66.

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Calvin= $10000*2^{\frac{x}{180}}$

Me= $500*500^{\frac{x}{180}}$

Setting these two equal to eachother we get $180\left(\dfrac{\log20}{\log250}\right)$

Wolfram alpha yields 97.66