Country growth rate question

Question

Country A has a growth rate of 4.6% per year. The population is currently 4,377,000, and the land area of Country A is 23,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?

Answer 1

2.3 x 10¹⁰ = (4.377 x 10⁶)(1.046)^t

0.525474 x 10⁴ = 1.046^t

5254.74 = 1.046^t

ln 5254.74 = (ln 1.046)t

 

Can you solve for t and answer?