Pre-Algebra Examples

$3^{x} \cdot 27 = 9^{2 x}$

Step 1

Multiply $3^{x} \cdot 27$ .

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Step 1.1

Rewrite $27$ as $3^{3}$ .

$3^{x} \cdot 3^{3} = 9^{2 x}$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3^{x + 3} = 9^{2 x}$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = 1$

Step 3