Finite Math Examples

$2^{x - 4} = 8^{2}$

Step 1

Create equivalent expressions in the equation that all have equal bases.

$2^{x - 4} = 2^{3 \cdot 2}$

Step 2

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

$x - 4 = 3 \cdot 2$

Step 3

Solve for $x$ .

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Step 3.1

Multiply $3$ by $2$ .

$x - 4 = 6$

Step 3.2

Move all terms not containing $x$ to the right side of the equation.

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Step 3.2.1

Add $4$ to both sides of the equation.

$x = 6 + 4$

Step 3.2.2

Add $6$ and $4$ .

$x = 10$