Solve for x 9^(2x-1)=81^x

$9^{2 x - 1} = 81^{x}$

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

$9^{2 x - 1} = 9^{2 x}$

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

$2 x - 1 = 2 x$

Solve for $x$ .

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

Subtract $2 x$ from both sides of the equation.

$2 x - 1 - 2 x = 0$

Combine the opposite terms in $2 x - 1 - 2 x$ .

Subtract $2 x$ from $2 x$ .

$0 - 1 = 0$

Subtract $1$ from $0$ .

$- 1 = 0$

Since $- 1 \neq 0$ , there are no solutions.

No solution