Solve for x 5^x=5^(x+2)

$5^{x} = 5^{x + 2}$

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

$5^{x} = 5^{x + 2}$

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

$x = x + 2$

Solve for $x$ .

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

Subtract $x$ from both sides of the equation.

$x - x = 2$

Subtract $x$ from $x$ .

$0 = 2$

Since $0 \neq 2$ , there are no solutions.

No solution