Question

Solve for $x$ in the equation $2^x=1.$

• A. 1
• B. $\frac{1}{2}$
• C. 2
• D. 0.0

Answer 1

The correct option is D 0.0

Consider the equation $2^x=1.$
We know that $a^0=1$ for any non-zero integer $a.$
Thus, $1$ can be written as $2^0.$
i.e., $2^x=2^0.$
Since the powers on both sides of the equation have equal bases, they must have equal exponents as well.
$⟹x=0$