Algebra Examples

$\sqrt{2 x + 8} = 5 \log_{3} (x)$

Step 1

Factor $2$ out of $2 x + 8$ .

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Step 1.1

Factor $2$ out of $2 x$ .

$\sqrt{2 (x) + 8} = 5 \log_{3} (x)$

Step 1.2

Factor $2$ out of $8$ .

$\sqrt{2 x + 2 \cdot 4} = 5 \log_{3} (x)$

Step 1.3

Factor $2$ out of $2 x + 2 \cdot 4$ .

$\sqrt{2 (x + 4)} = 5 \log_{3} (x)$

Step 2

Simplify $5 \log_{3} (x)$ by moving $5$ inside the logarithm.

$\sqrt{2 (x + 4)} = \log_{3} (x^{5})$

Step 3

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

$x \approx 2.16278568$

Step 4