Algebra Examples

$\frac{6^{x}}{36} = 216$

Step 1

Multiply both sides of the equation by $36$ .

$36 \frac{6^{x}}{36} = 36 \cdot 216$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $36$ .

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Step 2.1.1.1

Cancel the common factor.

$36 \frac{6^{x}}{36} = 36 \cdot 216$

Step 2.1.1.2

Rewrite the expression.

$6^{x} = 36 \cdot 216$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $36$ by $216$ .

$6^{x} = 7776$

Step 3

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

$6^{x} = 6^{5}$

Step 4

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

$x = 5$