Basic Math Examples

$3^{z} = 81^{2}$

Step 1

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

$3^{z} = 3^{4 \cdot 2}$

Step 2

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

$z = 4 \cdot 2$

Step 3

Multiply $4$ by $2$ .

$z = 8$