Precalculus Examples

$9 (5^{x}) = 225$

Step 1

Divide each term in $9 \cdot 5^{x} = 225$ by $9$ and simplify.

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Step 1.1

Divide each term in $9 \cdot 5^{x} = 225$ by $9$ .

$\frac{9 \cdot 5^{x}}{9} = \frac{225}{9}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $9$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{9 \cdot 5^{x}}{9} = \frac{225}{9}$

Step 1.2.1.2

Divide $5^{x}$ by $1$ .

$5^{x} = \frac{225}{9}$

Step 1.3

Simplify the right side.

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Step 1.3.1

Divide $225$ by $9$ .

$5^{x} = 25$

Step 2

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

$5^{x} = 5^{2}$

Step 3

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

$x = 2$