Algebra Examples

81 = 3^{x}

$81 = 3^{x}$

Step 1

Rewrite the equation as

3^{x} = 81

$3^{x} = 81$ .

3^{x} = 81

$3^{x} = 81$

Step 2

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

3^{x} = 3^{4}

$3^{x} = 3^{4}$

Step 3

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

x = 4

$x = 4$

81 = 3^{x}

$81 = 3^{x}$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$