Pre-Algebra Examples

${(10)}^{5} = 5^{x} \cdot 2^{x}$

Step 1

Raise $10$ to the power of $5$ .

$100000 = 5^{x} \cdot 2^{x}$

Step 2

Multiply $5^{x} \cdot 2^{x}$ .

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Step 2.1

Rewrite $5^{x} \cdot 2^{x}$ as ${(5 \cdot 2)}^{x}$ .

$100000 = {(5 \cdot 2)}^{x}$

Step 2.2

Multiply $5$ by $2$ .

$100000 = 10^{x}$

Step 3

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

$x = 5$

Step 4