Basic Math Examples

$9^{c} = 3^{c - 2}$

Step 1

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

$3^{2 c} = 3^{c - 2}$

Step 2

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

$2 c = c - 2$

Step 3

Move all terms containing $c$ to the left side of the equation.

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Step 3.1

Subtract $c$ from both sides of the equation.

$2 c - c = - 2$

Step 3.2

Subtract $c$ from $2 c$ .

$c = - 2$