Video Explanation

Text Explanation

The left side of the equation has 2²ⁿ added to itself four times, so just rewrite as 42²ⁿ:

Next it will help to get the bases to all be the same. Rewrite the 4 as 2², the 2²ⁿ is fine, and rewrite the 4 on the right side of the equation as 2²:

Finally, combine the 2's on the left side. Remember that when we multiply two numbers we add the exponents:

If the bases are the same and they're on either side of an equals sign, then the exponents must be equal too! We can focus on the exponents only and solve for n: