Finite Math Examples

$49^{x} = 7^{2 + x}$

Step 1

Create equivalent expressions in the equation that all have equal bases.

$7^{2 x} = 7^{2 + x}$

Step 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$2 x = 2 + x$

Step 3

Move all terms containing $x$ to the left side of the equation.

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Step 3.1

Subtract $x$ from both sides of the equation.

$2 x - x = 2$

Step 3.2

Subtract $x$ from $2 x$ .

$x = 2$