Finite Math Examples

$25^{x - 1} + 100 = \frac{5^{2 x}}{5}$

Step 1

Cancel the common factor of $5^{2 x}$ and $5$ .

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Step 1.1

Factor $5$ out of $5^{2 x}$ .

$25^{x - 1} + 100 = \frac{5 \cdot 5^{2 x - 1}}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $5$ .

$25^{x - 1} + 100 = \frac{5 \cdot 5^{2 x - 1}}{5 (1)}$

Step 1.2.2

Cancel the common factor.

$25^{x - 1} + 100 = \frac{5 \cdot 5^{2 x - 1}}{5 \cdot 1}$

Step 1.2.3

Rewrite the expression.

$25^{x - 1} + 100 = \frac{5^{2 x - 1}}{1}$

Step 1.2.4

Divide $5^{2 x - 1}$ by $1$ .

$25^{x - 1} + 100 = 5^{2 x - 1}$

Step 2

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

$x = 2$

Step 3