What is the answer to x^{x^2-1}=3^{x^2-1} ?

The answer to x^{x^2-1}=3^{x^2-1} is x=1,x=3

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x^{x^2-1}=3^{x^2-1}

x^{x^{2} - 1} = 3^{x^{2} - 1}

x = 1, x = 3

Solution steps

x^{x^{2} - 1} = 3^{x^{2} - 1}

Apply exponent rules

(x^{2} - 1) ln (x) = (x^{2} - 1) ln (3)

Solve

(x^{2} - 1) ln (x) = (x^{2} - 1) ln (3) : x = 1, x = 3

x = 1, x = 3

2 5^{x + 2} = 5

\frac{2 ^{x}}{2} = \frac{1}{8}

3^{2 + x} = 5^{x}

3^{2 x - 7} = 9

2 4^{- \frac{1}{x}} = \frac{1}{8}

What is the answer to x^{x^2-1}=3^{x^2-1} ?
The answer to x^{x^2-1}=3^{x^2-1} is x=1,x=3
Solve for x: x^{x^2-1}=3^{x^2-1}
The solution is x=1,x=3