Solve the Inequality for x 169^x=13^x

$169^{x} = 13^{x}$

Step 1

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

$13^{2 x} = 13^{x}$

Step 2

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

$2 x = x$

Step 3

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

Subtract $x$ from both sides of the equation.

$2 x - x = 0$

Subtract $x$ from $2 x$ .

$x = 0$