Question

Explain the steps you would use to solve the equation. Find the solution.

8^2x = 4096

Answer 1

Answer is in the attached picture.

Answer 2

x =2

Explanation:

To solve this we will follow the step below;

8^2x = 4096

Simply find 8 to the power of what number will give 4096 at the left-hand side of the equation

8⁴ = 4096

Substitute 8⁴ by 4096 at the right hand side of the equation

8²ˣ = 8⁴

The 8 at the right-hand side will cancel-out the 8 at the left-hand side

2x = 4

Divide both-side of the equation by 2

2x/2 = 4/2

x=2

The solution is x =2