SOLUTION: The population in India is 1.17 billion people and expected to double in 45 years. The population in China is 1.34 billion people and is expected to double in 67 years. If this co

Question 421392: The population in India is 1.17 billion people and expected to double in 45 years. The population in China is 1.34 billion people and is expected to double in 67 years. If this continues, when will India's population be the same as China's?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The population in India is 1.17 billion people and expected to double in 45 years. The population in China is 1.34 billion people and is expected to double in 67 years. If this continues, when will India's population be the same as China's?
---------------------
India:
1.17(2)^(t/45)
----
China:
1.34(2)^(t/67)
----
Solve for "t":
1.17*2^(t/45) = 1.34*2^(t/67)
-----
(1.17/1.34) = 2^[(t/67)-(t/45)]
---
0.8731 = t^(-0.007297t)
---
Take the ln of both sides to get:
-----
-0.007297t = -0.135705
t = 18.6 years
====================
Cheers,
Stan H.
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