Solve each of the following equations for x.

2^x - 1 = 0

The solution to the equation is x = 0

Step-by-step explanation:

Hi there!

First, let's write the equation:

2ˣ - 1 = 0

To solve it for x, let's add 1 to both sides of the equation:

2ˣ = 1

Apply log to both sides of the equation

log (2ˣ) = log (1)

Apply logrithm property: log (2ˣ) = x log (2)

x log (2) = log (1)

x log (2) = 0

x = 0

The solution is x = 0

Let's check the solution:

2ˣ - 1 = 0

x = 0

2⁰ - 1 = 0

1 - 1 = 0

0 = 0

The solution is correct!

Have a nice day!