The population of wild tigers in Nepal can be modeled by the equation LaTeX: p=130\left(2\right)^x p
=
130
(
2
)
x
, where x is the number of years since 2009.

Part A

Assuming the population growth rate continues, an equation that represents the number of years from 2009 it will take for the population of wild tigers in Nepal to reach 1,000 can be expressed as LaTeX: x=\log_ba
x
=
log
a
b
, where a and b are >0. What are the values of a and b?

Part B

Approximately how many years from 2009 will it take for the population of wild tigers in Nepal to reach 1,000? Round your answer to the nearest whole number.