Algebra Examples

$\frac{1}{2} = 2^{x}$

Step 1

Rewrite the equation as $2^{x} = \frac{1}{2}$ .

$2^{x} = \frac{1}{2}$

Step 2

Raise $2$ to the power of $1$ .

$2^{x} = \frac{1}{2^{1}}$

Step 3

Move $2^{1}$ to the numerator using the negative exponent rule $\frac{1}{b^{n}} = b^{- n}$ .

$2^{x} = 2^{- 1}$

Step 4

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x = - 1$