# How do I solve this exponential equation problem?

##### 2 Answers

Please see the explanation.

#### Explanation:

The first question asks for

The second question asks for

For the third question, the population equal to 2 billion translates into setting

The year will be

1)

2)

3) The year will be 2052.

#### Explanation:

To emphasize, **t represents the number of years since 2000.**

Plug in values:

**1)** The problem asks about the year 2013, which is

**2)** The year 2020 is

**3)** Set 2 billion people equal to

The year will be 2052.

Note: If you have only a scientific calculator that can perform logarithms on only base

where