Precalculus Examples

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

Step 1

Multiply $5$ by $5^{2 x}$ .

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Step 1.1

Raise $5$ to the power of $1$ .

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

Step 1.2

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

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

Step 2

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

$x = 1$

Step 3