What is the answer to 0.6^x=2^{x^2} ?

The answer to 0.6^x=2^{x^2} is x=0,x=(ln(0.6))/(ln(2))

Solve for x: 0.6^x=2^{x^2}

The solution is x=0,x=(ln(0.6))/(ln(2))

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0. 6^{x} = 2^{x^{2}}

x = 0, x = \frac{ln ( 0.6 )}{ln ( 2 )}

Solution steps

0. 6^{x} = 2^{x^{2}}

Apply exponent rules

x ln (0.6) = x^{2} ln (2)

Solve

x ln (0.6) = x^{2} ln (2) : x = 0, x = \frac{ln ( 0.6 )}{ln ( 2 )}

x = 0, x = \frac{ln ( 0.6 )}{ln ( 2 )}

9^{x - 2} = (\frac{1}{3})^{3 x - 1}

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

3^{2 x} = 12

8^{3 x + 1} = 12 8^{x - 2}

7^{x - 4} = 7^{8}

What is the answer to 0.6^x=2^{x^2} ?
The answer to 0.6^x=2^{x^2} is x=0,x=(ln(0.6))/(ln(2))
Solve for x: 0.6^x=2^{x^2}
The solution is x=0,x=(ln(0.6))/(ln(2))