Precalculus Examples

${(\frac{9}{4})}^{a} = \frac{81}{16}$

Step 1

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

${(\frac{9}{4})}^{a} = {(\frac{9}{4})}^{2}$

Step 2

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

$a = 2$