What is the answer to 8^{x^2}=9^x ?

The answer to 8^{x^2}=9^x is x=0,x=(2ln(3))/(3ln(2))

Solve for x: 8^{x^2}=9^x

The solution is x=0,x=(2ln(3))/(3ln(2))

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8^{x^{2}} = 9^{x}

x = 0, x = \frac{2 ln ( 3 )}{3 ln ( 2 )}

Decimal Notation

x = 0, x = 1.05664 \dots

Solution steps

8^{x^{2}} = 9^{x}

Apply exponent rules

x^{2} ln (8) = x ln (9)

Solve

x^{2} ln (8) = x ln (9) : x = 0, x = \frac{2 ln ( 3 )}{3 ln ( 2 )}

x = 0, x = \frac{2 ln ( 3 )}{3 ln ( 2 )}

θ, r = φ e^{- θ} + ω θ e^{- θ}

3^{x} = 81

6^{x} = 38

6^{x} = 15

5^{2 x + 1} = 3125

What is the answer to 8^{x^2}=9^x ?
The answer to 8^{x^2}=9^x is x=0,x=(2ln(3))/(3ln(2))
Solve for x: 8^{x^2}=9^x
The solution is x=0,x=(2ln(3))/(3ln(2))