\"\"

\

The  population function is \"\", where \"\"(in billions of people) in year \"\".

\

(a)

\

when will the population of the world be \"\"billion people.

\

Substitute \"\" in \"\".

\

\"\"

\

\"\"

\

\"\"

\

Apply logarithm one to one property : if \"\",then \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

Therefore,the population of the world will be \"\"billion people in \"\".

\

\"\"

\

(b)

\

When will the population of the world be \"\"billion people.

\

Substitute \"\" in \"\".

\

\"\"

\

\"\"

\

\"\"

\

Apply logarithm one to one property : if \"\",then \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

Therefore,the population of the world will be \"\"billion people in \"\".

\

\"\"

\

(a) The population of the world will be \"\"billion people in \"\".

\

(b) The population of the world will be \"\"billion people in \"\".