What is the answer to 9^{sqrt(b^3-1)}=81 ?

The answer to 9^{sqrt(b^3-1)}=81 is b=\sqrt[3]{5}

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9^{sqrt(b^3-1)}=81

9^{b^{3} - 1} = 81

Solution steps

9^{b^{3} - 1} = 81

Apply exponent rules

b^{3} - 1 = 2

Solve

e^{4.2 x} = 69

2 5^{x} = 5

e^{x} + 6 e^{- x} = 5

5^{x + 1} = \frac{1}{5}

3^{2 x} = \frac{1}{27}

What is the answer to 9^{sqrt(b^3-1)}=81 ?
The answer to 9^{sqrt(b^3-1)}=81 is b=\sqrt[3]{5}
Solve for b: 9^{sqrt(b^3-1)}=81
The solution is b=\sqrt[3]{5}