What is the answer to 81^{x^2-1}=27 ?

The answer to 81^{x^2-1}=27 is x=(sqrt(7))/2 ,x=-(sqrt(7))/2

Solve for x: 81^{x^2-1}=27

The solution is x=(sqrt(7))/2 ,x=-(sqrt(7))/2

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8 1^{x^{2} - 1} = 27

x = \frac{7}{2}, x = - \frac{7}{2}

Decimal Notation

x = 1.32287 \dots, x = - 1.32287 \dots

Solution steps

8 1^{x^{2} - 1} = 27

Apply exponent rules

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

Solve

4 (x^{2} - 1) = 3 : x = \frac{7}{2}, x = - \frac{7}{2}

x = \frac{7}{2}, x = - \frac{7}{2}

2^{3 x} = \frac{1}{16}

x, 2^{x} = 1

e^{x} - 9 x = 0

8^{x} = 7

e^{- x} = 0.2

What is the answer to 81^{x^2-1}=27 ?
The answer to 81^{x^2-1}=27 is x=(sqrt(7))/2 ,x=-(sqrt(7))/2
Solve for x: 81^{x^2-1}=27
The solution is x=(sqrt(7))/2 ,x=-(sqrt(7))/2