Answer:
The solution to the equation is x = 0
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!